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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- 20*x+5*y=-3
-
Expresiones idénticas
- (- diez *x*x+ tres *x- cuarenta)^ dos = dos *(x*x+ uno)*(cien *x*x- sesenta *x+ dieciséis)
- ( menos 10 multiplicar por x multiplicar por x más 3 multiplicar por x menos 40) al cuadrado es igual a 2 multiplicar por (x multiplicar por x más 1) multiplicar por (100 multiplicar por x multiplicar por x menos 60 multiplicar por x más 16)
- ( menos diez multiplicar por x multiplicar por x más tres multiplicar por x menos cuarenta) en el grado dos es igual a dos multiplicar por (x multiplicar por x más uno) multiplicar por (cien multiplicar por x multiplicar por x menos sesenta multiplicar por x más dieciséis)
- (-10*x*x+3*x-40)2=2*(x*x+1)*(100*x*x-60*x+16)
- -10*x*x+3*x-402=2*x*x+1*100*x*x-60*x+16
- (-10*x*x+3*x-40)²=2*(x*x+1)*(100*x*x-60*x+16)
- (-10*x*x+3*x-40) en el grado 2=2*(x*x+1)*(100*x*x-60*x+16)
- (-10xx+3x-40)^2=2(xx+1)(100xx-60x+16)
- (-10xx+3x-40)2=2(xx+1)(100xx-60x+16)
- -10xx+3x-402=2xx+1100xx-60x+16
- -10xx+3x-40^2=2xx+1100xx-60x+16
-
Expresiones semejantes
- (-10*x*x+3*x+40)^2=2*(x*x+1)*(100*x*x-60*x+16)
- (-10*x*x+3*x-40)^2=2*(x*x+1)*(100*x*x+60*x+16)
- (-10*x*x+3*x-40)^2=2*(x*x+1)*(100*x*x-60*x-16)
- (-10*x*x-3*x-40)^2=2*(x*x+1)*(100*x*x-60*x+16)
- (10*x*x+3*x-40)^2=2*(x*x+1)*(100*x*x-60*x+16)
- (-10*x*x+3*x-40)^2=2*(x*x-1)*(100*x*x-60*x+16)
(-10*x*x+3*x-40)^2=2*(x*x+1)*(100*x*x-60*x+16) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 (-10*x*x + 3*x - 40) = 2*(x*x + 1)*(100*x*x - 60*x + 16)
$$\left(\left(- 10 x x + 3 x\right) - 40\right)^{2} = 2 \left(x x + 1\right) \left(\left(x 100 x - 60 x\right) + 16\right)$$
Respuesta rápida
[src]
___________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ __________________________________
/ / _______________
/ 1181 / 3524609233 \/ 3425908159662 1527071 279
I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + -------------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________
/ | __________________________________ | / / _______________ / | __________________________________ |
/ | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ |
/ |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 |
/ |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------|
/ |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________|
/ | / _______________ | / / | / _______________ |
/ | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 |
/ | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- |
3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 |
x1 = -- - --------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 2 2
$$x_{1} = - \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} - \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}$$
___________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ __________________________________
/ / _______________
/ 1181 / 3524609233 \/ 3425908159662 1527071 279
I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + -------------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________
/ | __________________________________ | / / _______________ / | __________________________________ |
/ | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ |
/ |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 |
/ |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------|
/ |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________|
/ | / _______________ | / / | / _______________ |
/ | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 |
/ | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- |
3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 |
x2 = -- - --------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 2 2
$$x_{2} = - \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} + \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________________
/ __________________________________
/ / _______________
/ 1181 / 3524609233 \/ 3425908159662 279 1527071
/ ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ----------------------------------------------
___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________
/ __________________________________ / / __________________________________ / _______________
/ / _______________ / / / _______________ / 3524609233 \/ 3425908159662
/ 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + -----------------
/ ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000
/ 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________
/ / _______________ / / / _______________
/ / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662
/ 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + -----------------
3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000
x3 = -- + ------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 2 2
$$x_{3} = \frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________________
/ __________________________________
/ / _______________
/ 1181 / 3524609233 \/ 3425908159662 279 1527071
/ ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ----------------------------------------------
___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________
/ __________________________________ / / __________________________________ / _______________
/ / _______________ / / / _______________ / 3524609233 \/ 3425908159662
/ 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + -----------------
/ ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000
/ 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________
/ / _______________ / / / _______________
/ / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662
/ 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + -----------------
3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000
x4 = -- + ------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 2 2
$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2} + \frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20}$$
x4 = -sqrt(-2*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3) + 1527071/(180000*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3)) + 1181/150 + 279/(250*sqrt(-1527071/(180000*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3)) + 2*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3) + 1181/300)))/2 + sqrt(-1527071/(180000*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3)) + 2*(-3524609233/216000000 + sqrt(3425908159662)/100000)^(1/3) + 1181/300)/2 + 3/20
Suma y producto de raíces
[src]
suma
___________________________________________________________________________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________
/ __________________________________ / __________________________________ / __________________________________ / __________________________________
/ / _______________ / / _______________ / / _______________ / / _______________
/ 1181 / 3524609233 \/ 3425908159662 1527071 279 / 1181 / 3524609233 \/ 3425908159662 1527071 279 / 1181 / 3524609233 \/ 3425908159662 279 1527071 / 1181 / 3524609233 \/ 3425908159662 279 1527071
I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- / ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ---------------------------------------------- / ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ----------------------------------------------
_____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________ _____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________ ___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________ ___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________
/ | __________________________________ | / / _______________ / | __________________________________ | / | __________________________________ | / / _______________ / | __________________________________ | / __________________________________ / / __________________________________ / _______________ / __________________________________ / / __________________________________ / _______________
/ | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ | / | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ | / / _______________ / / / _______________ / 3524609233 \/ 3425908159662 / / _______________ / / / _______________ / 3524609233 \/ 3425908159662
/ |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 | / |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 | / 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + ----------------- / 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + -----------------
/ |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000 / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000
/ |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________| / |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________| / 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________ / 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________
/ | / _______________ | / / | / _______________ | / | / _______________ | / / | / _______________ | / / _______________ / / / _______________ / / _______________ / / / _______________
/ | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 | / | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 | / / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662 / / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662
/ | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- | / | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- | / 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + ----------------- / 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + -----------------
3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 | 3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 | 3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000 3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000
-- - --------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- - --------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + ------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + ------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 2 2 20 2 2 20 2 2 20 2 2
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2} + \frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20}\right) + \left(\left(\frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2}\right) + \left(\left(- \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} - \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}\right) + \left(- \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} + \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}\right)\right)\right)$$
=
___________________________________________________________________________________________________ _____________________________________________________________________________________________________
/ __________________________________ / | __________________________________ |
/ / _______________ / | / _______________ |
3 / 1181 / 3524609233 \/ 3425908159662 1527071 / |1181 / 3524609233 \/ 3425908159662 1527071 |
- + / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- - / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------|
5 / 300 \/ 216000000 100000 __________________________________ / |300 \/ 216000000 100000 __________________________________|
/ / _______________ / | / _______________ |
/ / 3524609233 \/ 3425908159662 / | / 3524609233 \/ 3425908159662 |
/ 180000*3 / - ---------- + ----------------- / | 180000*3 / - ---------- + ----------------- |
\/ \/ 216000000 100000 \/ | \/ 216000000 100000 |
$$- \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|} + \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}} + \frac{3}{5}$$
producto
/ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________________\ | / __________________________________ | | / __________________________________ | | / __________________________________ | | / __________________________________ | | / / _______________ | | / / _______________ | | / / _______________ | | / / _______________ | | / 1181 / 3524609233 \/ 3425908159662 1527071 279 | | / 1181 / 3524609233 \/ 3425908159662 1527071 279 | | / 1181 / 3524609233 \/ 3425908159662 279 1527071 | | / 1181 / 3524609233 \/ 3425908159662 279 1527071 | | I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- | | I* / - ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- | | / ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ---------------------------------------------- | | / ---- - 2*3 / - ---------- + ----------------- + ----------------------------------------------------------------------------------------------------------------- + ---------------------------------------------- | | _____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________ | | _____________________________________________________________________________________________________ / 150 \/ 216000000 100000 __________________________________ _____________________________________________________________________________________________________ | | ___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________ | | ___________________________________________________________________________________________________ / 150 \/ 216000000 100000 ___________________________________________________________________________________________________ __________________________________ | | / | __________________________________ | / / _______________ / | __________________________________ | | | / | __________________________________ | / / _______________ / | __________________________________ | | | / __________________________________ / / __________________________________ / _______________ | | / __________________________________ / / __________________________________ / _______________ | | / | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ | | | / | / _______________ | / / 3524609233 \/ 3425908159662 / | / _______________ | | | / / _______________ / / / _______________ / 3524609233 \/ 3425908159662 | | / / _______________ / / / _______________ / 3524609233 \/ 3425908159662 | | / |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 | | | / |1181 / 3524609233 \/ 3425908159662 1527071 | / 180000*3 / - ---------- + ----------------- / |1181 / 3524609233 \/ 3425908159662 1527071 | | | / 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + ----------------- | | / 1181 / 3524609233 \/ 3425908159662 1527071 / / 1181 / 3524609233 \/ 3425908159662 1527071 180000*3 / - ---------- + ----------------- | | / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| | | / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| / \/ 216000000 100000 250* / |---- + 2*3 / - ---------- + ----------------- - ----------------------------------------------| | | / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000 | | / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- / 250* / ---- + 2*3 / - ---------- + ----------------- - ---------------------------------------------- \/ 216000000 100000 | | / |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________| | | / |300 \/ 216000000 100000 __________________________________| / / |300 \/ 216000000 100000 __________________________________| | | / 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________ | | / 300 \/ 216000000 100000 __________________________________ / / 300 \/ 216000000 100000 __________________________________ | | / | / _______________ | / / | / _______________ | | | / | / _______________ | / / | / _______________ | | | / / _______________ / / / _______________ | | / / _______________ / / / _______________ | | / | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 | | | / | / 3524609233 \/ 3425908159662 | / / | / 3524609233 \/ 3425908159662 | | | / / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662 | | / / 3524609233 \/ 3425908159662 / / / 3524609233 \/ 3425908159662 | | / | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- | | | / | 180000*3 / - ---------- + ----------------- | / / | 180000*3 / - ---------- + ----------------- | | | / 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + ----------------- | | / 180000*3 / - ---------- + ----------------- / / 180000*3 / - ---------- + ----------------- | |3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 | | |3 \/ | \/ 216000000 100000 | \/ \/ | \/ 216000000 100000 | | |3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000 | |3 \/ \/ 216000000 100000 \/ \/ \/ 216000000 100000 | |-- - --------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- - --------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \20 2 2 / \20 2 2 / \20 2 2 / \20 2 2 /
$$\left(- \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} - \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}\right) \left(- \frac{\sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}{2} + \frac{3}{20} + \frac{i \sqrt{- \frac{1181}{150} - \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{279}{250 \sqrt{\left|{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}\right|}}}}{2}\right) \left(\frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + \frac{1181}{150} + \frac{279}{250 \sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}}}{2} + \frac{\sqrt{- \frac{1527071}{180000 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}}} + 2 \sqrt[3]{- \frac{3524609233}{216000000} + \frac{\sqrt{3425908159662}}{100000}} + \frac{1181}{300}}}{2} + \frac{3}{20}\right)$$
=
-392 ----- 25
$$- \frac{392}{25}$$
-392/25
Respuesta numérica
[src]
x1 = 2.98633139982022
x2 = -2.62977895156433
x3 = 0.121723775872057 - 1.40775458068303*i
x4 = 0.121723775872057 + 1.40775458068303*i
x4 = 0.121723775872057 + 1.40775458068303*i