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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- (x+ cinco)^ dos *(x- uno)= siete
- (x más 5) al cuadrado multiplicar por (x menos 1) es igual a 7
- (x más cinco) en el grado dos multiplicar por (x menos uno) es igual a siete
- (x+5)2*(x-1)=7
- x+52*x-1=7
- (x+5)²*(x-1)=7
- (x+5) en el grado 2*(x-1)=7
- (x+5)^2(x-1)=7
- (x+5)2(x-1)=7
- x+52x-1=7
- x+5^2x-1=7
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Expresiones semejantes
- (x-5)^2*(x-1)=7
- (x+5)^2*(x+1)=7
(x+5)^2*(x-1)=7 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
______________ / ______________\
/ _____ | / _____ |
/ 23 \/ 273 | ___ / 23 \/ 273 |
3 / -- + ------- | ___ \/ 3 *3 / -- + ------- |
2 \/ 2 2 | 2*\/ 3 \/ 2 2 |
x1 = -3 - ------------------- - ------------------- + I*|------------------- - -------------------------|
______________ 2 | ______________ 2 |
/ _____ | / _____ |
/ 23 \/ 273 | / 23 \/ 273 |
3 / -- + ------- |3 / -- + ------- |
\/ 2 2 \\/ 2 2 /
$$x_{1} = -3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)$$
______________ / ______________ \
/ _____ | / _____ |
/ 23 \/ 273 | ___ / 23 \/ 273 |
3 / -- + ------- |\/ 3 *3 / -- + ------- ___ |
2 \/ 2 2 | \/ 2 2 2*\/ 3 |
x2 = -3 - ------------------- - ------------------- + I*|------------------------- - -------------------|
______________ 2 | 2 ______________|
/ _____ | / _____ |
/ 23 \/ 273 | / 23 \/ 273 |
3 / -- + ------- | 3 / -- + ------- |
\/ 2 2 \ \/ 2 2 /
$$x_{2} = -3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)$$
______________
/ _____
/ 23 \/ 273 4
x3 = -3 + 3 / -- + ------- + -------------------
\/ 2 2 ______________
/ _____
/ 23 \/ 273
3 / -- + -------
\/ 2 2
$$x_{3} = -3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}$$
x3 = -3 + 4/(sqrt(273)/2 + 23/2)^(1/3) + (sqrt(273)/2 + 23/2)^(1/3)
Suma y producto de raíces
[src]
suma
______________ / ______________\ ______________ / ______________ \
/ _____ | / _____ | / _____ | / _____ |
/ 23 \/ 273 | ___ / 23 \/ 273 | / 23 \/ 273 | ___ / 23 \/ 273 | ______________
3 / -- + ------- | ___ \/ 3 *3 / -- + ------- | 3 / -- + ------- |\/ 3 *3 / -- + ------- ___ | / _____
2 \/ 2 2 | 2*\/ 3 \/ 2 2 | 2 \/ 2 2 | \/ 2 2 2*\/ 3 | / 23 \/ 273 4
-3 - ------------------- - ------------------- + I*|------------------- - -------------------------| + -3 - ------------------- - ------------------- + I*|------------------------- - -------------------| + -3 + 3 / -- + ------- + -------------------
______________ 2 | ______________ 2 | ______________ 2 | 2 ______________| \/ 2 2 ______________
/ _____ | / _____ | / _____ | / _____ | / _____
/ 23 \/ 273 | / 23 \/ 273 | / 23 \/ 273 | / 23 \/ 273 | / 23 \/ 273
3 / -- + ------- |3 / -- + ------- | 3 / -- + ------- | 3 / -- + ------- | 3 / -- + -------
\/ 2 2 \\/ 2 2 / \/ 2 2 \ \/ 2 2 / \/ 2 2
$$\left(-3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}\right) + \left(\left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)\right) + \left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)\right)\right)$$
=
/ ______________ \ / ______________\
| / _____ | | / _____ |
| ___ / 23 \/ 273 | | ___ / 23 \/ 273 |
|\/ 3 *3 / -- + ------- ___ | | ___ \/ 3 *3 / -- + ------- |
| \/ 2 2 2*\/ 3 | | 2*\/ 3 \/ 2 2 |
-9 + I*|------------------------- - -------------------| + I*|------------------- - -------------------------|
| 2 ______________| | ______________ 2 |
| / _____ | | / _____ |
| / 23 \/ 273 | | / 23 \/ 273 |
| 3 / -- + ------- | |3 / -- + ------- |
\ \/ 2 2 / \\/ 2 2 /
$$-9 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right) + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)$$
producto
/ ______________ / ______________\\ / ______________ / ______________ \\ | / _____ | / _____ || | / _____ | / _____ || | / 23 \/ 273 | ___ / 23 \/ 273 || | / 23 \/ 273 | ___ / 23 \/ 273 || / ______________ \ | 3 / -- + ------- | ___ \/ 3 *3 / -- + ------- || | 3 / -- + ------- |\/ 3 *3 / -- + ------- ___ || | / _____ | | 2 \/ 2 2 | 2*\/ 3 \/ 2 2 || | 2 \/ 2 2 | \/ 2 2 2*\/ 3 || | / 23 \/ 273 4 | |-3 - ------------------- - ------------------- + I*|------------------- - -------------------------||*|-3 - ------------------- - ------------------- + I*|------------------------- - -------------------||*|-3 + 3 / -- + ------- + -------------------| | ______________ 2 | ______________ 2 || | ______________ 2 | 2 ______________|| | \/ 2 2 ______________| | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 23 \/ 273 | / 23 \/ 273 || | / 23 \/ 273 | / 23 \/ 273 || | / 23 \/ 273 | | 3 / -- + ------- |3 / -- + ------- || | 3 / -- + ------- | 3 / -- + ------- || | 3 / -- + ------- | \ \/ 2 2 \\/ 2 2 // \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 /
$$\left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)\right) \left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)\right) \left(-3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}\right)$$
=
32
$$32$$
32
Respuesta numérica
[src]
x1 = 1.18309886753344
x2 = -5.09154943376672 + 1.06006466862624*i
x3 = -5.09154943376672 - 1.06006466862624*i
x3 = -5.09154943376672 - 1.06006466862624*i