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Ecuación x^3+3x^2-x-3=0
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Ecuación (x+9)^2=36*x
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Ecuación x^3-6x^2+11x-6=0
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Ecuación a+120=2000/5
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
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Expresiones idénticas
- ((tres ^(dos (x^ dos)- veintinueve)- veintisiete)*sqrt((5x+ dieciocho), cuatro))= cero
- ((3 en el grado (2(x al cuadrado ) menos 29) menos 27) multiplicar por raíz cuadrada de ((5x más 18),4)) es igual a 0
- ((tres en el grado (dos (x en el grado dos) menos veintinueve) menos veintisiete) multiplicar por raíz cuadrada de ((5x más dieciocho), cuatro)) es igual a cero
- ((3^(2(x^2)-29)-27)*√((5x+18),4))=0
- ((3(2(x2)-29)-27)*sqrt((5x+18),4))=0
- 32x2-29-27*sqrt5x+18,4=0
- ((3^(2(x²)-29)-27)*sqrt((5x+18),4))=0
- ((3 en el grado (2(x en el grado 2)-29)-27)*sqrt((5x+18),4))=0
- ((3^(2(x^2)-29)-27)sqrt((5x+18),4))=0
- ((3(2(x2)-29)-27)sqrt((5x+18),4))=0
- 32x2-29-27sqrt5x+18,4=0
- 3^2x^2-29-27sqrt5x+18,4=0
- ((3^(2(x^2)-29)-27)*sqrt((5x+18),4))=O
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Expresiones semejantes
- ((3^(2(x^2)+29)-27)*sqrt((5x+18),4))=0
- ((3^(2(x^2)-29)-27)*sqrt((5x-18),4))=0
- ((3^(2(x^2)-29)+27)*sqrt((5x+18),4))=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
((3^(2(x^2)-29)-27)*sqrt((5x+18),4))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ | 2*x - 29 | __________ \3 - 27/*\/ 5*x + 18 = 0
$$\left(3^{2 x^{2} - 29} - 27\right) \sqrt{5 x + 18} = 0$$
Respuesta rápida
[src]
x1 = -4
$$x_{1} = -4$$
x2 = -18/5
$$x_{2} = - \frac{18}{5}$$
x3 = 4
$$x_{3} = 4$$
/ / pi \\ / / pi \\
______________________ |atan|-------------|| ______________________ |atan|-------------||
4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/|
\/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------|
\ 2 / \ 2 /
x4 = - -------------------------------------------------- - ----------------------------------------------------
________ ________
\/ log(3) \/ log(3)
$$x_{4} = - \frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} - \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}$$
/ / pi \\ / / pi \\
______________________ |atan|-------------|| ______________________ |atan|-------------||
4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/|
\/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------|
\ 2 / \ 2 /
x5 = -------------------------------------------------- + ----------------------------------------------------
________ ________
\/ log(3) \/ log(3)
$$x_{5} = \frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} + \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}$$
x5 = (pi^2 + log(43046721)^2)^(1/4)*cos(atan(pi/log(43046721))/2)/sqrt(log(3)) + i*(pi^2 + log(43046721)^2)^(1/4)*sin(atan(pi/log(43046721))/2)/sqrt(log(3))
Suma y producto de raíces
[src]
suma
/ / pi \\ / / pi \\ / / pi \\ / / pi \\
______________________ |atan|-------------|| ______________________ |atan|-------------|| ______________________ |atan|-------------|| ______________________ |atan|-------------||
4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/|
\/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------| \/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
-4 - 18/5 + 4 + - -------------------------------------------------- - ---------------------------------------------------- + -------------------------------------------------- + ----------------------------------------------------
________ ________ ________ ________
\/ log(3) \/ log(3) \/ log(3) \/ log(3)
$$\left(\left(\left(-4 - \frac{18}{5}\right) + 4\right) + \left(- \frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} - \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}\right)\right) + \left(\frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} + \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}\right)$$
=
-18/5
$$- \frac{18}{5}$$
producto
/ / / pi \\ / / pi \\\ / / / pi \\ / / pi \\\
| ______________________ |atan|-------------|| ______________________ |atan|-------------||| | ______________________ |atan|-------------|| ______________________ |atan|-------------|||
| 4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/|| |4 / 2 2 | \log(43046721)/| 4 / 2 2 | \log(43046721)/||
| \/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------|| |\/ pi + log (43046721) *cos|-------------------| I*\/ pi + log (43046721) *sin|-------------------||
-4*(-18) | \ 2 / \ 2 /| | \ 2 / \ 2 /|
--------*4*|- -------------------------------------------------- - ----------------------------------------------------|*|-------------------------------------------------- + ----------------------------------------------------|
5 | ________ ________ | | ________ ________ |
\ \/ log(3) \/ log(3) / \ \/ log(3) \/ log(3) /
$$4 \left(- \frac{-72}{5}\right) \left(- \frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} - \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}\right) \left(\frac{\sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}} + \frac{i \sqrt[4]{\pi^{2} + \log{\left(43046721 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(3 \right)}}}\right)$$
=
/ pi \
______________________ I*atan|-------------|
/ 2 2 \log(43046721)/
-288*\/ pi + log (43046721) *e
-----------------------------------------------------
5*log(3)
$$- \frac{288 \sqrt{\pi^{2} + \log{\left(43046721 \right)}^{2}} e^{i \operatorname{atan}{\left(\frac{\pi}{\log{\left(43046721 \right)}} \right)}}}{5 \log{\left(3 \right)}}$$
-288*sqrt(pi^2 + log(43046721)^2)*exp(i*atan(pi/log(43046721)))/(5*log(3))
Respuesta numérica
[src]
x1 = -4.0
x2 = -3.6
x3 = 4.0
x4 = -4.01581451579495 - 0.356042448690394*i
x5 = 4.01581451579495 + 0.356042448690394*i
x5 = 4.01581451579495 + 0.356042448690394*i