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Ecuación y^2+y-12=0
- Ecuación (x^2-25)^2+(x^2+3*x-10)^2=0
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Ecuación √(x+6)=|x+6|
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Ecuación x^2+11*x+28=0
- Expresar {x} en función de y en la ecuación:
- -8*x+16*y=11
- -11*x+4*y=-20
- -14*x+12*y=-6
- 10*x-18*y=-6
- Forma canónica:
- (x-4)*(x+4)
-
Expresiones idénticas
- (x- cuatro)*(x+ cuatro)=(x- cuatro)^ cuatro - veinticuatro
- (x menos 4) multiplicar por (x más 4) es igual a (x menos 4) en el grado 4 menos 24
- (x menos cuatro) multiplicar por (x más cuatro) es igual a (x menos cuatro) en el grado cuatro menos veinticuatro
- (x-4)*(x+4)=(x-4)4-24
- x-4*x+4=x-44-24
- (x-4)*(x+4)=(x-4)⁴-24
- (x-4)(x+4)=(x-4)^4-24
- (x-4)(x+4)=(x-4)4-24
- x-4x+4=x-44-24
- x-4x+4=x-4^4-24
-
Expresiones semejantes
- (x+4)*(x+4)=(x-4)^4-24
- (x-4)*(x+4)=(x+4)^4-24
- (x-4)*(x-4)=(x-4)^4-24
- x^2-(x-4)(x+4)=2x
- (x-4)*(x+4)=(x-4)^4+24
- (x-4)(x+4)=0
- 2(x-4)(x+4)=0
(x-4)*(x+4)=(x-4)^4-24 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 (x - 4)*(x + 4) = (x - 4) - 24
$$\left(x - 4\right) \left(x + 4\right) = \left(x - 4\right)^{4} - 24$$
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________
/ ____________________ / ____________________ / ____________________ / ____________________
/ / ________ / / ________ / / ________ / / ________
/ 4 / 1 \/ 164166 16 287 / 4 / 1 \/ 164166 16 287 / 4 / 1 \/ 164166 16 287 / 4 / 1 \/ 164166 16 287
/ - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ---------------------------- / - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ---------------------------- I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ---------------------------- I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ----------------------------
________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________ / ____________________ / / ____________________ / ________ / ____________________ / / ____________________ / ________ / ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 1 \/ 164166 / / ________ / / / ________ / 1 \/ 164166 / / ________ / / / ________ / 1 \/ 164166 / / ________ / / / ________ / 1 \/ 164166
/ 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ----------
/ - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18
/ 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________
/ / ________ / / / ________ / / ________ / / / ________ / / ________ / / / ________ / / ________ / / / ________
/ / 1 \/ 164166 / / / 1 \/ 164166 / / 1 \/ 164166 / / / 1 \/ 164166 / / 1 \/ 164166 / / / 1 \/ 164166 / / 1 \/ 164166 / / / 1 \/ 164166
/ 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- / 18*3 / - --- + ---------- / / 18*3 / - --- + ----------
\/ \/ 216 18 \/ \/ \/ 216 18 \/ \/ 216 18 \/ \/ \/ 216 18 \/ \/ 216 18 \/ \/ \/ 216 18 \/ \/ 216 18 \/ \/ \/ 216 18
4 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + 4 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ + 4 - -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + 4 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4\right) + \left(\frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + 4\right)\right) + \left(- \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 - \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 + \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}\right)$$
=
16
$$16$$
producto
/ _____________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________\ | / ____________________ | | / ____________________ | | / ____________________ | | / ____________________ | | / / ________ | | / / ________ | | / / ________ | | / / ________ | | / 4 / 1 \/ 164166 16 287 | | / 4 / 1 \/ 164166 16 287 | | / 4 / 1 \/ 164166 16 287 | | / 4 / 1 \/ 164166 16 287 | | / - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ---------------------------- | | / - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ---------------------------- | | I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ---------------------------- | | I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ---------------------------- | | ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ | | ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ | | ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ | | ________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________ | | / ____________________ / / ____________________ / ________ | | / ____________________ / / ____________________ / ________ | | / ____________________ / / ____________________ / ________ | | / ____________________ / / ____________________ / ________ | | / / ________ / / / ________ / 1 \/ 164166 | | / / ________ / / / ________ / 1 \/ 164166 | | / / ________ / / / ________ / 1 \/ 164166 | | / / ________ / / / ________ / 1 \/ 164166 | | / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- | | / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- | | / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- | | / 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ---------- | | / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 | | / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 | | / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 | | / - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18 | | / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ | | / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ | | / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ | | / 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / 1 \/ 164166 / / / 1 \/ 164166 | | / / 1 \/ 164166 / / / 1 \/ 164166 | | / / 1 \/ 164166 / / / 1 \/ 164166 | | / / 1 \/ 164166 / / / 1 \/ 164166 | | / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- | | / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- | | / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- | | / 18*3 / - --- + ---------- / / 18*3 / - --- + ---------- | | \/ \/ 216 18 \/ \/ \/ 216 18 | | \/ \/ 216 18 \/ \/ \/ 216 18 | | \/ \/ 216 18 \/ \/ \/ 216 18 | | \/ \/ 216 18 \/ \/ \/ 216 18 | |4 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|4 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|4 - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|4 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(\frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + 4\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4\right) \left(- \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 - \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 + \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}\right)$$
=
248
$$248$$
248
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 4 / 1 \/ 164166 16 287
/ - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ----------------------------
________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 1 \/ 164166
/ 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ----------
/ - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18
/ 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________
/ / ________ / / / ________
/ / 1 \/ 164166 / / / 1 \/ 164166
/ 18*3 / - --- + ---------- / / 18*3 / - --- + ----------
\/ \/ 216 18 \/ \/ \/ 216 18
x1 = 4 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + 4$$
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 4 / 1 \/ 164166 16 287
/ - - 2*3 / - --- + ---------- + -------------------------------------------------------------------------- + ----------------------------
________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 1 \/ 164166
/ 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ----------
/ - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18
/ 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________
/ / ________ / / / ________
/ / 1 \/ 164166 / / / 1 \/ 164166
/ 18*3 / - --- + ---------- / / 18*3 / - --- + ----------
\/ \/ 216 18 \/ \/ \/ 216 18
x2 = 4 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{4}{3} + \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2} + \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4$$
_______________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 4 / 1 \/ 164166 16 287
I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ----------------------------
________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 1 \/ 164166
/ 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ----------
/ - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18
/ 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________
/ / ________ / / / ________
/ / 1 \/ 164166 / / / 1 \/ 164166
/ 18*3 / - --- + ---------- / / 18*3 / - --- + ----------
\/ \/ 216 18 \/ \/ \/ 216 18
x3 = 4 - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{3} = - \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 - \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}$$
_______________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 4 / 1 \/ 164166 16 287
I* / - - + 2*3 / - --- + ---------- + -------------------------------------------------------------------------- - ----------------------------
________________________________________________________________ / 3 \/ 216 18 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 1 \/ 164166
/ 2 / 1 \/ 164166 287 / / 2 / 1 \/ 164166 287 18*3 / - --- + ----------
/ - + 2*3 / - --- + ---------- - ---------------------------- / / - + 2*3 / - --- + ---------- - ---------------------------- \/ 216 18
/ 3 \/ 216 18 ____________________ / / 3 \/ 216 18 ____________________
/ / ________ / / / ________
/ / 1 \/ 164166 / / / 1 \/ 164166
/ 18*3 / - --- + ---------- / / 18*3 / - --- + ----------
\/ \/ 216 18 \/ \/ \/ 216 18
x4 = 4 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{4} = - \frac{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}{2} + 4 + \frac{i \sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} - \frac{4}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}} + \frac{16}{\sqrt{- \frac{287}{18 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}} + \frac{2}{3} + 2 \sqrt[3]{- \frac{1}{216} + \frac{\sqrt{164166}}{18}}}}}}{2}$$
x4 = -sqrt(-287/(18*(-1/216 + sqrt(164166)/18)^(1/3)) + 2/3 + 2*(-1/216 + sqrt(164166)/18)^(1/3))/2 + 4 + i*sqrt(-287/(18*(-1/216 + sqrt(164166)/18)^(1/3)) - 4/3 + 2*(-1/216 + sqrt(164166)/18)^(1/3) + 16/sqrt(-287/(18*(-1/216 + sqrt(164166)/18)^(1/3)) + 2/3 + 2*(-1/216 + sqrt(164166)/18)^(1/3)))/2
Respuesta numérica
[src]
x1 = 2.11992158927199
x2 = 3.5919888563978 + 2.13735818131688*i
x3 = 3.5919888563978 - 2.13735818131688*i
x4 = 6.69610069793241
x4 = 6.69610069793241