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- La ecuación:
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Ecuación 8*x=2
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Ecuación 3^x=81
-
Ecuación x^2=12
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Ecuación -27x+220=-5x
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -17*x+2*y=9
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Expresiones idénticas
- (x- cuatro)(x^ dos +16x+ sesenta y cuatro)= trece (x+ dieciocho)
- (x menos 4)(x al cuadrado más 16x más 64) es igual a 13(x más 18)
- (x menos cuatro)(x en el grado dos más 16x más sesenta y cuatro) es igual a trece (x más dieciocho)
- (x-4)(x2+16x+64)=13(x+18)
- x-4x2+16x+64=13x+18
- (x-4)(x²+16x+64)=13(x+18)
- (x-4)(x en el grado 2+16x+64)=13(x+18)
- x-4x^2+16x+64=13x+18
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Expresiones semejantes
- (x-4)(x^2-16x+64)=13(x+18)
- (x+4)(x^2+16x+64)=13(x+18)
- 1/(13x+18)=1/(38x-27)
- (x-4)(x^2+16x-64)=13(x+18)
- (x-4)(x^2+16x+64)=13(x-18)
(x-4)(x^2+16x+64)=13(x+18) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ (x - 4)*\x + 16*x + 64/ = 13*(x + 18)
$$\left(x - 4\right) \left(\left(x^{2} + 16 x\right) + 64\right) = 13 \left(x + 18\right)$$
Suma y producto de raíces
[src]
suma
___________________ / ___________________ \ ___________________ / ___________________ \
/ _______ | / _______ | / _______ | / _______ |
/ 7*\/ 25818 | ___ / 7*\/ 25818 | / 7*\/ 25818 | ___ / 7*\/ 25818 | ___________________
3 / 155 + ----------- | \/ 3 *3 / 155 + ----------- ___ | 3 / 155 + ----------- |\/ 3 *3 / 155 + ----------- ___ | / _______
61 \/ 9 | \/ 9 61*\/ 3 | 61 \/ 9 | \/ 9 61*\/ 3 | / 7*\/ 25818 61
-4 - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------| + -4 - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------| + -4 + 3 / 155 + ----------- + --------------------------
___________________ 2 | 2 ___________________| ___________________ 2 | 2 ___________________| \/ 9 ___________________
/ _______ | / _______ | / _______ | / _______ | / _______
/ 7*\/ 25818 | / 7*\/ 25818 | / 7*\/ 25818 | / 7*\/ 25818 | / 7*\/ 25818
6*3 / 155 + ----------- | 6*3 / 155 + ----------- | 6*3 / 155 + ----------- | 6*3 / 155 + ----------- | 3*3 / 155 + -----------
\/ 9 \ \/ 9 / \/ 9 \ \/ 9 / \/ 9
$$\left(-4 + \frac{61}{3 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}\right) + \left(\left(-4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} + \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}\right)\right) + \left(-4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2}\right)\right)\right)$$
=
/ ___________________ \ / ___________________ \
| / _______ | | / _______ |
| ___ / 7*\/ 25818 | | ___ / 7*\/ 25818 |
|\/ 3 *3 / 155 + ----------- ___ | | \/ 3 *3 / 155 + ----------- ___ |
| \/ 9 61*\/ 3 | | \/ 9 61*\/ 3 |
-12 + I*|------------------------------ - --------------------------| + I*|- ------------------------------ + --------------------------|
| 2 ___________________| | 2 ___________________|
| / _______ | | / _______ |
| / 7*\/ 25818 | | / 7*\/ 25818 |
| 6*3 / 155 + ----------- | | 6*3 / 155 + ----------- |
\ \/ 9 / \ \/ 9 /
$$-12 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} + \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}\right) + i \left(- \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2}\right)$$
producto
/ ___________________ / ___________________ \\ / ___________________ / ___________________ \\ | / _______ | / _______ || | / _______ | / _______ || | / 7*\/ 25818 | ___ / 7*\/ 25818 || | / 7*\/ 25818 | ___ / 7*\/ 25818 || / ___________________ \ | 3 / 155 + ----------- | \/ 3 *3 / 155 + ----------- ___ || | 3 / 155 + ----------- |\/ 3 *3 / 155 + ----------- ___ || | / _______ | | 61 \/ 9 | \/ 9 61*\/ 3 || | 61 \/ 9 | \/ 9 61*\/ 3 || | / 7*\/ 25818 61 | |-4 - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------||*|-4 - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------||*|-4 + 3 / 155 + ----------- + --------------------------| | ___________________ 2 | 2 ___________________|| | ___________________ 2 | 2 ___________________|| | \/ 9 ___________________| | / _______ | / _______ || | / _______ | / _______ || | / _______ | | / 7*\/ 25818 | / 7*\/ 25818 || | / 7*\/ 25818 | / 7*\/ 25818 || | / 7*\/ 25818 | | 6*3 / 155 + ----------- | 6*3 / 155 + ----------- || | 6*3 / 155 + ----------- | 6*3 / 155 + ----------- || | 3*3 / 155 + ----------- | \ \/ 9 \ \/ 9 // \ \/ 9 \ \/ 9 // \ \/ 9 /
$$\left(-4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2}\right)\right) \left(-4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} + \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}\right)\right) \left(-4 + \frac{61}{3 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}\right)$$
=
490
$$490$$
490
Respuesta rápida
[src]
___________________ / ___________________ \
/ _______ | / _______ |
/ 7*\/ 25818 | ___ / 7*\/ 25818 |
3 / 155 + ----------- | \/ 3 *3 / 155 + ----------- ___ |
61 \/ 9 | \/ 9 61*\/ 3 |
x1 = -4 - -------------------------- - ------------------------ + I*|- ------------------------------ + --------------------------|
___________________ 2 | 2 ___________________|
/ _______ | / _______ |
/ 7*\/ 25818 | / 7*\/ 25818 |
6*3 / 155 + ----------- | 6*3 / 155 + ----------- |
\/ 9 \ \/ 9 /
$$x_{1} = -4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} + \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}\right)$$
___________________ / ___________________ \
/ _______ | / _______ |
/ 7*\/ 25818 | ___ / 7*\/ 25818 |
3 / 155 + ----------- |\/ 3 *3 / 155 + ----------- ___ |
61 \/ 9 | \/ 9 61*\/ 3 |
x2 = -4 - -------------------------- - ------------------------ + I*|------------------------------ - --------------------------|
___________________ 2 | 2 ___________________|
/ _______ | / _______ |
/ 7*\/ 25818 | / 7*\/ 25818 |
6*3 / 155 + ----------- | 6*3 / 155 + ----------- |
\/ 9 \ \/ 9 /
$$x_{2} = -4 - \frac{\sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2} - \frac{61}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + i \left(- \frac{61 \sqrt{3}}{6 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \frac{\sqrt{3} \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}}{2}\right)$$
___________________
/ _______
/ 7*\/ 25818 61
x3 = -4 + 3 / 155 + ----------- + --------------------------
\/ 9 ___________________
/ _______
/ 7*\/ 25818
3*3 / 155 + -----------
\/ 9
$$x_{3} = -4 + \frac{61}{3 \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}} + \sqrt[3]{\frac{7 \sqrt{25818}}{9} + 155}$$
x3 = -4 + 61/(3*(7*sqrt(25818)/9 + 155)^(1/3)) + (7*sqrt(25818)/9 + 155)^(1/3)
Respuesta numérica
[src]
x1 = 5.65008185653094
x2 = -8.82504092826547 + 2.97372827916586*i
x3 = -8.82504092826547 - 2.97372827916586*i
x3 = -8.82504092826547 - 2.97372827916586*i