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- La ecuación:
-
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:
- 9*x+7*y=4
- -1*x+7*y=-11
- -11*x+17*y=-17
- -8*x+20*y=4
- Integral de d{x}:
- 14
- Suma de la serie:
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14
- Derivada de:
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14
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Expresiones idénticas
- (7x+ cuatro)*(catorce x^ dos -(3x-2x))=14
- (7x más 4) multiplicar por (14x al cuadrado menos (3x menos 2x)) es igual a 14
- (7x más cuatro) multiplicar por ( cotangente de angente de orce x en el grado dos menos (3x menos 2x)) es igual a 14
- (7x+4)*(14x2-(3x-2x))=14
- 7x+4*14x2-3x-2x=14
- (7x+4)*(14x²-(3x-2x))=14
- (7x+4)*(14x en el grado 2-(3x-2x))=14
- (7x+4)(14x^2-(3x-2x))=14
- (7x+4)(14x2-(3x-2x))=14
- 7x+414x2-3x-2x=14
- 7x+414x^2-3x-2x=14
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Expresiones semejantes
- (7x+4)*(14x^2+(3x-2x))=14
- (7x+4)*(14x^2-(3x+2x))=14
- (7x-4)*(14x^2-(3x-2x))=14
(7x+4)*(14x^2-(3x-2x))=14 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ (7*x + 4)*\14*x + -3*x + 2*x/ = 14
$$\left(7 x + 4\right) \left(14 x^{2} + \left(- 3 x + 2 x\right)\right) = 14$$
Respuesta rápida
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____________________ / ____________________ \
/ ________ | / ________ |
/ 671 \/ 602022 | ___ / 671 \/ 602022 |
3 / ----- + ---------- | \/ 3 *3 / ----- + ---------- ___ |
1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 |
x1 = - - - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------|
6 ____________________ 2 | 2 ____________________|
/ ________ | / ________ |
/ 671 \/ 602022 | / 671 \/ 602022 |
3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- |
\/ 10584 12348 \ \/ 10584 12348 /
$$x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} + \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}\right)$$
____________________ / ____________________ \
/ ________ | / ________ |
/ 671 \/ 602022 | ___ / 671 \/ 602022 |
3 / ----- + ---------- |\/ 3 *3 / ----- + ---------- ___ |
1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 |
x2 = - - - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------|
6 ____________________ 2 | 2 ____________________|
/ ________ | / ________ |
/ 671 \/ 602022 | / 671 \/ 602022 |
3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- |
\/ 10584 12348 \ \/ 10584 12348 /
$$x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2}\right)$$
____________________
/ ________
1 / 671 \/ 602022 73
x3 = - - + 3 / ----- + ---------- + ------------------------------
6 \/ 10584 12348 ____________________
/ ________
/ 671 \/ 602022
1764*3 / ----- + ----------
\/ 10584 12348
$$x_{3} = - \frac{1}{6} + \frac{73}{1764 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}$$
x3 = -1/6 + 73/(1764*(sqrt(602022)/12348 + 671/10584)^(1/3)) + (sqrt(602022)/12348 + 671/10584)^(1/3)
Suma y producto de raíces
[src]
suma
____________________ / ____________________ \ ____________________ / ____________________ \
/ ________ | / ________ | / ________ | / ________ |
/ 671 \/ 602022 | ___ / 671 \/ 602022 | / 671 \/ 602022 | ___ / 671 \/ 602022 | ____________________
3 / ----- + ---------- | \/ 3 *3 / ----- + ---------- ___ | 3 / ----- + ---------- |\/ 3 *3 / ----- + ---------- ___ | / ________
1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 | 1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 | 1 / 671 \/ 602022 73
- - - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------| + - - - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------| + - - + 3 / ----- + ---------- + ------------------------------
6 ____________________ 2 | 2 ____________________| 6 ____________________ 2 | 2 ____________________| 6 \/ 10584 12348 ____________________
/ ________ | / ________ | / ________ | / ________ | / ________
/ 671 \/ 602022 | / 671 \/ 602022 | / 671 \/ 602022 | / 671 \/ 602022 | / 671 \/ 602022
3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- | 1764*3 / ----- + ----------
\/ 10584 12348 \ \/ 10584 12348 / \/ 10584 12348 \ \/ 10584 12348 / \/ 10584 12348
$$\left(- \frac{1}{6} + \frac{73}{1764 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} + \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2}\right)\right)\right)$$
=
/ ____________________ \ / ____________________ \
| / ________ | | / ________ |
| ___ / 671 \/ 602022 | | ___ / 671 \/ 602022 |
|\/ 3 *3 / ----- + ---------- ___ | | \/ 3 *3 / ----- + ---------- ___ |
1 | \/ 10584 12348 73*\/ 3 | | \/ 10584 12348 73*\/ 3 |
- - + I*|------------------------------- - ------------------------------| + I*|- ------------------------------- + ------------------------------|
2 | 2 ____________________| | 2 ____________________|
| / ________ | | / ________ |
| / 671 \/ 602022 | | / 671 \/ 602022 |
| 3528*3 / ----- + ---------- | | 3528*3 / ----- + ---------- |
\ \/ 10584 12348 / \ \/ 10584 12348 /
$$- \frac{1}{2} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} + \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}\right) + i \left(- \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2}\right)$$
producto
/ ____________________ / ____________________ \\ / ____________________ / ____________________ \\ | / ________ | / ________ || | / ________ | / ________ || | / 671 \/ 602022 | ___ / 671 \/ 602022 || | / 671 \/ 602022 | ___ / 671 \/ 602022 || / ____________________ \ | 3 / ----- + ---------- | \/ 3 *3 / ----- + ---------- ___ || | 3 / ----- + ---------- |\/ 3 *3 / ----- + ---------- ___ || | / ________ | | 1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 || | 1 73 \/ 10584 12348 | \/ 10584 12348 73*\/ 3 || | 1 / 671 \/ 602022 73 | |- - - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------||*|- - - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------||*|- - + 3 / ----- + ---------- + ------------------------------| | 6 ____________________ 2 | 2 ____________________|| | 6 ____________________ 2 | 2 ____________________|| | 6 \/ 10584 12348 ____________________| | / ________ | / ________ || | / ________ | / ________ || | / ________ | | / 671 \/ 602022 | / 671 \/ 602022 || | / 671 \/ 602022 | / 671 \/ 602022 || | / 671 \/ 602022 | | 3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- || | 3528*3 / ----- + ---------- | 3528*3 / ----- + ---------- || | 1764*3 / ----- + ---------- | \ \/ 10584 12348 \ \/ 10584 12348 // \ \/ 10584 12348 \ \/ 10584 12348 // \ \/ 10584 12348 /
$$\left(- \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} - \frac{1}{6} - \frac{73}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}{2} + \frac{73 \sqrt{3}}{3528 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}}\right)\right) \left(- \frac{1}{6} + \frac{73}{1764 \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}} + \sqrt[3]{\frac{\sqrt{602022}}{12348} + \frac{671}{10584}}\right)$$
=
1/7
$$\frac{1}{7}$$
1/7
Respuesta numérica
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x1 = 0.417468845245884
x2 = -0.458734422622942 + 0.362989066424951*i
x3 = -0.458734422622942 - 0.362989066424951*i
x3 = -0.458734422622942 - 0.362989066424951*i