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- La ecuación:
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Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
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Ecuación x^2-14*x+33=0
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Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
- Derivada de:
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5/x
- Integral de d{x}:
- 5/x
- Gráfico de la función y =:
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5/x
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Expresiones idénticas
- doce /(3x+ cinco)+ uno /10x= cinco /x
- 12 dividir por (3x más 5) más 1 dividir por 10x es igual a 5 dividir por x
- doce dividir por (3x más cinco) más uno dividir por 10x es igual a cinco dividir por x
- 12/3x+5+1/10x=5/x
- 12 dividir por (3x+5)+1 dividir por 10x=5 dividir por x
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Expresiones semejantes
- (x-3)*(x+5)/x+6=0
- ((x-3)*(x+5))/(x^2-9*x+18)=0
- 12/(3x-5)+1/10x=5/x
- 12/(3x+5)-1/10x=5/x
12/(3x+5)+1/10x=5/x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
12 x 5 ------- + -- = - 3*x + 5 10 x
$$\frac{x}{10} + \frac{12}{3 x + 5} = \frac{5}{x}$$
Respuesta rápida
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_____________________ / _____________________ \
/ ______ | / ______ |
/ 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 |
3 / ----- + ----------- | \/ 3 *3 / ----- + ----------- ___ |
5 295 \/ 729 81 | \/ 729 81 295*\/ 3 |
x1 = - - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------|
9 _____________________ 2 | 2 _____________________|
/ ______ | / ______ |
/ 28225 35*\/ 7770 | / 28225 35*\/ 7770 |
162*3 / ----- + ----------- | 162*3 / ----- + ----------- |
\/ 729 81 \ \/ 729 81 /
$$x_{1} = - \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)$$
_____________________ / _____________________ \
/ ______ | / ______ |
/ 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 |
3 / ----- + ----------- |\/ 3 *3 / ----- + ----------- ___ |
5 295 \/ 729 81 | \/ 729 81 295*\/ 3 |
x2 = - - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------|
9 _____________________ 2 | 2 _____________________|
/ ______ | / ______ |
/ 28225 35*\/ 7770 | / 28225 35*\/ 7770 |
162*3 / ----- + ----------- | 162*3 / ----- + ----------- |
\/ 729 81 \ \/ 729 81 /
$$x_{2} = - \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)$$
_____________________
/ ______
5 / 28225 35*\/ 7770 295
x3 = - - + 3 / ----- + ----------- + -----------------------------
9 \/ 729 81 _____________________
/ ______
/ 28225 35*\/ 7770
81*3 / ----- + -----------
\/ 729 81
$$x_{3} = - \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}$$
x3 = -5/9 + 295/(81*(35*sqrt(7770)/81 + 28225/729)^(1/3)) + (35*sqrt(7770)/81 + 28225/729)^(1/3)
Suma y producto de raíces
[src]
suma
_____________________ / _____________________ \ _____________________ / _____________________ \
/ ______ | / ______ | / ______ | / ______ |
/ 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 | / 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 | _____________________
3 / ----- + ----------- | \/ 3 *3 / ----- + ----------- ___ | 3 / ----- + ----------- |\/ 3 *3 / ----- + ----------- ___ | / ______
5 295 \/ 729 81 | \/ 729 81 295*\/ 3 | 5 295 \/ 729 81 | \/ 729 81 295*\/ 3 | 5 / 28225 35*\/ 7770 295
- - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------| + - - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------| + - - + 3 / ----- + ----------- + -----------------------------
9 _____________________ 2 | 2 _____________________| 9 _____________________ 2 | 2 _____________________| 9 \/ 729 81 _____________________
/ ______ | / ______ | / ______ | / ______ | / ______
/ 28225 35*\/ 7770 | / 28225 35*\/ 7770 | / 28225 35*\/ 7770 | / 28225 35*\/ 7770 | / 28225 35*\/ 7770
162*3 / ----- + ----------- | 162*3 / ----- + ----------- | 162*3 / ----- + ----------- | 162*3 / ----- + ----------- | 81*3 / ----- + -----------
\/ 729 81 \ \/ 729 81 / \/ 729 81 \ \/ 729 81 / \/ 729 81
$$\left(- \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)\right)\right)$$
=
/ _____________________ \ / _____________________ \
| / ______ | | / ______ |
| ___ / 28225 35*\/ 7770 | | ___ / 28225 35*\/ 7770 |
|\/ 3 *3 / ----- + ----------- ___ | | \/ 3 *3 / ----- + ----------- ___ |
5 | \/ 729 81 295*\/ 3 | | \/ 729 81 295*\/ 3 |
- - + I*|-------------------------------- - ------------------------------| + I*|- -------------------------------- + ------------------------------|
3 | 2 _____________________| | 2 _____________________|
| / ______ | | / ______ |
| / 28225 35*\/ 7770 | | / 28225 35*\/ 7770 |
| 162*3 / ----- + ----------- | | 162*3 / ----- + ----------- |
\ \/ 729 81 / \ \/ 729 81 /
$$- \frac{5}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right) + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)$$
producto
/ _____________________ / _____________________ \\ / _____________________ / _____________________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 || | / 28225 35*\/ 7770 | ___ / 28225 35*\/ 7770 || / _____________________ \ | 3 / ----- + ----------- | \/ 3 *3 / ----- + ----------- ___ || | 3 / ----- + ----------- |\/ 3 *3 / ----- + ----------- ___ || | / ______ | | 5 295 \/ 729 81 | \/ 729 81 295*\/ 3 || | 5 295 \/ 729 81 | \/ 729 81 295*\/ 3 || | 5 / 28225 35*\/ 7770 295 | |- - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------||*|- - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------||*|- - + 3 / ----- + ----------- + -----------------------------| | 9 _____________________ 2 | 2 _____________________|| | 9 _____________________ 2 | 2 _____________________|| | 9 \/ 729 81 _____________________| | / ______ | / ______ || | / ______ | / ______ || | / ______ | | / 28225 35*\/ 7770 | / 28225 35*\/ 7770 || | / 28225 35*\/ 7770 | / 28225 35*\/ 7770 || | / 28225 35*\/ 7770 | | 162*3 / ----- + ----------- | 162*3 / ----- + ----------- || | 162*3 / ----- + ----------- | 162*3 / ----- + ----------- || | 81*3 / ----- + ----------- | \ \/ 729 81 \ \/ 729 81 // \ \/ 729 81 \ \/ 729 81 // \ \/ 729 81 /
$$\left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)\right) \left(- \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}\right)$$
=
250/3
$$\frac{250}{3}$$
250/3
Respuesta numérica
[src]
x1 = -3.10931983410946 - 2.93925331424971*i
x2 = -3.10931983410946 + 2.93925331424971*i
x3 = 4.55197300155225
x3 = 4.55197300155225