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- La ecuación:
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Ecuación 5*x^2+2*x-7=0
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Ecuación x+120=40*5
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Ecuación y(0)=1
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Ecuación x-2,4/6=x+0,6/11
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
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Expresiones idénticas
- x^ dos *(x- diecinueve . seiscientos cincuenta y cuatro)= tres . setecientos sesenta y siete * diez ^ tres
- x al cuadrado multiplicar por (x menos 19.654) es igual a 3.767 multiplicar por 10 al cubo
- x en el grado dos multiplicar por (x menos diecinueve . seiscientos cincuenta y cuatro) es igual a tres . setecientos sesenta y siete multiplicar por diez en el grado tres
- x2*(x-19.654)=3.767*103
- x2*x-19.654=3.767*103
- x²*(x-19.654)=3.767*10³
- x en el grado 2*(x-19.654)=3.767*10 en el grado 3
- x^2(x-19.654)=3.76710^3
- x2(x-19.654)=3.767103
- x2x-19.654=3.767103
- x^2x-19.654=3.76710^3
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Expresiones semejantes
- x^2*(x+19.654)=3.767*10^3
x^2*(x-19.654)=3.767*10^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 / 9827\ 3767*1000 x *|x - ----| = --------- \ 500 / 1000
$$x^{2} \left(x - \frac{9827}{500}\right) = \frac{1000 \cdot 3767}{1000}$$
Respuesta rápida
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________________________________________ / ________________________________________ \
/ ____________________ | / ____________________ |
/ 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 |
3 / ------------- + ---------------------- | \/ 3 *3 / ------------- + ---------------------- ___ |
9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 |
x1 = ---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------|
1500 ________________________________________ 2 | 2 ________________________________________|
/ ____________________ | / ____________________ |
/ 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 |
4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- |
\/ 3375000000 225000 \ \/ 3375000000 225000 /
$$x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right)$$
________________________________________ / ________________________________________ \
/ ____________________ | / ____________________ |
/ 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 |
3 / ------------- + ---------------------- |\/ 3 *3 / ------------- + ---------------------- ___ |
9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 |
x2 = ---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------|
1500 ________________________________________ 2 | 2 ________________________________________|
/ ____________________ | / ____________________ |
/ 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 |
4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- |
\/ 3375000000 225000 \ \/ 3375000000 225000 /
$$x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)$$
________________________________________
/ ____________________
9827 / 7305805192283 \/ 233218677233700915 96569929
x3 = ---- + 3 / ------------- + ---------------------- + -----------------------------------------------------
1500 \/ 3375000000 225000 ________________________________________
/ ____________________
/ 7305805192283 \/ 233218677233700915
2250000*3 / ------------- + ----------------------
\/ 3375000000 225000
$$x_{3} = \frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}$$
x3 = 96569929/(2250000*(sqrt(233218677233700915)/225000 + 7305805192283/3375000000)^(1/3)) + 9827/1500 + (sqrt(233218677233700915)/225000 + 7305805192283/3375000000)^(1/3)
Suma y producto de raíces
[src]
suma
________________________________________ / ________________________________________ \ ________________________________________ / ________________________________________ \
/ ____________________ | / ____________________ | / ____________________ | / ____________________ |
/ 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 | ________________________________________
3 / ------------- + ---------------------- | \/ 3 *3 / ------------- + ---------------------- ___ | 3 / ------------- + ---------------------- |\/ 3 *3 / ------------- + ---------------------- ___ | / ____________________
9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 | 9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 | 9827 / 7305805192283 \/ 233218677233700915 96569929
---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------| + ---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------| + ---- + 3 / ------------- + ---------------------- + -----------------------------------------------------
1500 ________________________________________ 2 | 2 ________________________________________| 1500 ________________________________________ 2 | 2 ________________________________________| 1500 \/ 3375000000 225000 ________________________________________
/ ____________________ | / ____________________ | / ____________________ | / ____________________ | / ____________________
/ 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915
4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- | 2250000*3 / ------------- + ----------------------
\/ 3375000000 225000 \ \/ 3375000000 225000 / \/ 3375000000 225000 \ \/ 3375000000 225000 / \/ 3375000000 225000
$$\left(\frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)\right)\right)$$
=
/ ________________________________________ \ / ________________________________________ \
| / ____________________ | | / ____________________ |
| ___ / 7305805192283 \/ 233218677233700915 | | ___ / 7305805192283 \/ 233218677233700915 |
|\/ 3 *3 / ------------- + ---------------------- ___ | | \/ 3 *3 / ------------- + ---------------------- ___ |
9827 | \/ 3375000000 225000 96569929*\/ 3 | | \/ 3375000000 225000 96569929*\/ 3 |
---- + I*|--------------------------------------------------- - -----------------------------------------------------| + I*|- --------------------------------------------------- + -----------------------------------------------------|
500 | 2 ________________________________________| | 2 ________________________________________|
| / ____________________ | | / ____________________ |
| / 7305805192283 \/ 233218677233700915 | | / 7305805192283 \/ 233218677233700915 |
| 4500000*3 / ------------- + ---------------------- | | 4500000*3 / ------------- + ---------------------- |
\ \/ 3375000000 225000 / \ \/ 3375000000 225000 /
$$\frac{9827}{500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right) + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)$$
producto
/ ________________________________________ / ________________________________________ \\ / ________________________________________ / ________________________________________ \\ | / ____________________ | / ____________________ || | / ____________________ | / ____________________ || | / 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 || | / 7305805192283 \/ 233218677233700915 | ___ / 7305805192283 \/ 233218677233700915 || / ________________________________________ \ | 3 / ------------- + ---------------------- | \/ 3 *3 / ------------- + ---------------------- ___ || | 3 / ------------- + ---------------------- |\/ 3 *3 / ------------- + ---------------------- ___ || | / ____________________ | |9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 || |9827 96569929 \/ 3375000000 225000 | \/ 3375000000 225000 96569929*\/ 3 || |9827 / 7305805192283 \/ 233218677233700915 96569929 | |---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------||*|---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------||*|---- + 3 / ------------- + ---------------------- + -----------------------------------------------------| |1500 ________________________________________ 2 | 2 ________________________________________|| |1500 ________________________________________ 2 | 2 ________________________________________|| |1500 \/ 3375000000 225000 ________________________________________| | / ____________________ | / ____________________ || | / ____________________ | / ____________________ || | / ____________________ | | / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 || | / 7305805192283 \/ 233218677233700915 | / 7305805192283 \/ 233218677233700915 || | / 7305805192283 \/ 233218677233700915 | | 4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- || | 4500000*3 / ------------- + ---------------------- | 4500000*3 / ------------- + ---------------------- || | 2250000*3 / ------------- + ---------------------- | \ \/ 3375000000 225000 \ \/ 3375000000 225000 // \ \/ 3375000000 225000 \ \/ 3375000000 225000 // \ \/ 3375000000 225000 /
$$\left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right)\right) \left(\frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}\right)$$
=
3767
$$3767$$
3767
Respuesta numérica
[src]
x1 = -2.90484492584236 + 11.8109278413928*i
x2 = -2.90484492584236 - 11.8109278413928*i
x3 = 25.4636898516847
x3 = 25.4636898516847