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- La ecuación:
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Ecuación 2+x=6
-
Ecuación -20-x=-13
-
Ecuación 9x^2-1=0
-
Ecuación -0,6x^2+18=0
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 4*x-4*y=-19
-
Expresiones idénticas
- (x- seis)(x+ seis)-(2x- tres)(x- uno)= seis -x³
- (x menos 6)(x más 6) menos (2x menos 3)(x menos 1) es igual a 6 menos x³
- (x menos seis)(x más seis) menos (2x menos tres)(x menos uno) es igual a seis menos x³
- x-6x+6-2x-3x-1=6-x³
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Expresiones semejantes
- (x-6)(x+6)+(2x-3)(x-1)=6-x³
- (x-6)(x+6)-(2x-3)(x+1)=6-x³
- (x+6)(x+6)-(2x-3)(x-1)=6-x³
- (x-6)(x+6)-(2x+3)(x-1)=6-x³
- (x-6)(x+6)-(2x-3)(x-1)=6+x³
- (x-6)(x-6)-(2x-3)(x-1)=6-x³
(x-6)(x+6)-(2x-3)(x-1)=6-x³ la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 (x - 6)*(x + 6) - (2*x - 3)*(x - 1) = 6 - x
$$\left(x - 6\right) \left(x + 6\right) - \left(x - 1\right) \left(2 x - 3\right) = 6 - x^{3}$$
Suma y producto de raíces
[src]
suma
__________________ / __________________\ __________________ / __________________ \
/ ______ | / ______ | / ______ | / ______ |
/ 586 2*\/ 9615 | ___ / 586 2*\/ 9615 | / 586 2*\/ 9615 | ___ / 586 2*\/ 9615 | __________________
3 / --- + ---------- | ___ \/ 3 *3 / --- + ---------- | 3 / --- + ---------- |\/ 3 *3 / --- + ---------- ___ | / ______
1 \/ 27 9 7 | 7*\/ 3 \/ 27 9 | 1 \/ 27 9 7 | \/ 27 9 7*\/ 3 | 1 / 586 2*\/ 9615 14
- - ----------------------- + ------------------------- + I*|- ------------------------- - -----------------------------| + - - ----------------------- + ------------------------- + I*|----------------------------- + -------------------------| + - + 3 / --- + ---------- - -------------------------
3 2 __________________ | __________________ 2 | 3 2 __________________ | 2 __________________| 3 \/ 27 9 __________________
/ ______ | / ______ | / ______ | / ______ | / ______
/ 586 2*\/ 9615 | / 586 2*\/ 9615 | / 586 2*\/ 9615 | / 586 2*\/ 9615 | / 586 2*\/ 9615
9*3 / --- + ---------- | 9*3 / --- + ---------- | 9*3 / --- + ---------- | 9*3 / --- + ---------- | 9*3 / --- + ----------
\/ 27 9 \ \/ 27 9 / \/ 27 9 \ \/ 27 9 / \/ 27 9
$$\left(- \frac{14}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} - \frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(\frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2}\right)\right)\right)$$
=
/ __________________ \ / __________________\
| / ______ | | / ______ |
| ___ / 586 2*\/ 9615 | | ___ / 586 2*\/ 9615 |
|\/ 3 *3 / --- + ---------- ___ | | ___ \/ 3 *3 / --- + ---------- |
| \/ 27 9 7*\/ 3 | | 7*\/ 3 \/ 27 9 |
1 + I*|----------------------------- + -------------------------| + I*|- ------------------------- - -----------------------------|
| 2 __________________| | __________________ 2 |
| / ______ | | / ______ |
| / 586 2*\/ 9615 | | / 586 2*\/ 9615 |
| 9*3 / --- + ---------- | | 9*3 / --- + ---------- |
\ \/ 27 9 / \ \/ 27 9 /
$$1 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} - \frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}\right) + i \left(\frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2}\right)$$
producto
/ __________________ / __________________\\ / __________________ / __________________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 586 2*\/ 9615 | ___ / 586 2*\/ 9615 || | / 586 2*\/ 9615 | ___ / 586 2*\/ 9615 || / __________________ \ | 3 / --- + ---------- | ___ \/ 3 *3 / --- + ---------- || | 3 / --- + ---------- |\/ 3 *3 / --- + ---------- ___ || | / ______ | |1 \/ 27 9 7 | 7*\/ 3 \/ 27 9 || |1 \/ 27 9 7 | \/ 27 9 7*\/ 3 || |1 / 586 2*\/ 9615 14 | |- - ----------------------- + ------------------------- + I*|- ------------------------- - -----------------------------||*|- - ----------------------- + ------------------------- + I*|----------------------------- + -------------------------||*|- + 3 / --- + ---------- - -------------------------| |3 2 __________________ | __________________ 2 || |3 2 __________________ | 2 __________________|| |3 \/ 27 9 __________________| | / ______ | / ______ || | / ______ | / ______ || | / ______ | | / 586 2*\/ 9615 | / 586 2*\/ 9615 || | / 586 2*\/ 9615 | / 586 2*\/ 9615 || | / 586 2*\/ 9615 | | 9*3 / --- + ---------- | 9*3 / --- + ---------- || | 9*3 / --- + ---------- | 9*3 / --- + ---------- || | 9*3 / --- + ---------- | \ \/ 27 9 \ \/ 27 9 // \ \/ 27 9 \ \/ 27 9 // \ \/ 27 9 /
$$\left(- \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(\frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} - \frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}\right)\right) \left(- \frac{14}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}\right)$$
=
45
$$45$$
45
Respuesta rápida
[src]
__________________ / __________________\
/ ______ | / ______ |
/ 586 2*\/ 9615 | ___ / 586 2*\/ 9615 |
3 / --- + ---------- | ___ \/ 3 *3 / --- + ---------- |
1 \/ 27 9 7 | 7*\/ 3 \/ 27 9 |
x1 = - - ----------------------- + ------------------------- + I*|- ------------------------- - -----------------------------|
3 2 __________________ | __________________ 2 |
/ ______ | / ______ |
/ 586 2*\/ 9615 | / 586 2*\/ 9615 |
9*3 / --- + ---------- | 9*3 / --- + ---------- |
\/ 27 9 \ \/ 27 9 /
$$x_{1} = - \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} - \frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}\right)$$
__________________ / __________________ \
/ ______ | / ______ |
/ 586 2*\/ 9615 | ___ / 586 2*\/ 9615 |
3 / --- + ---------- |\/ 3 *3 / --- + ---------- ___ |
1 \/ 27 9 7 | \/ 27 9 7*\/ 3 |
x2 = - - ----------------------- + ------------------------- + I*|----------------------------- + -------------------------|
3 2 __________________ | 2 __________________|
/ ______ | / ______ |
/ 586 2*\/ 9615 | / 586 2*\/ 9615 |
9*3 / --- + ---------- | 9*3 / --- + ---------- |
\/ 27 9 \ \/ 27 9 /
$$x_{2} = - \frac{\sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2} + \frac{7}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + i \left(\frac{7 \sqrt{3}}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{\sqrt{3} \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}}{2}\right)$$
__________________
/ ______
1 / 586 2*\/ 9615 14
x3 = - + 3 / --- + ---------- - -------------------------
3 \/ 27 9 __________________
/ ______
/ 586 2*\/ 9615
9*3 / --- + ----------
\/ 27 9
$$x_{3} = - \frac{14}{9 \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}} + \frac{1}{3} + \sqrt[3]{\frac{586}{27} + \frac{2 \sqrt{9615}}{9}}$$
x3 = -14/(9*(586/27 + 2*sqrt(9615)/9)^(1/3)) + 1/3 + (586/27 + 2*sqrt(9615)/9)^(1/3)
Respuesta numérica
[src]
x1 = 3.40776898556655
x2 = -1.20388449278328 - 3.42867067556199*i
x3 = -1.20388449278328 + 3.42867067556199*i
x3 = -1.20388449278328 + 3.42867067556199*i