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- La ecuación:
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Ecuación 16*x^3+25*x=0
-
Ecuación x+(x*3)=168
-
Ecuación x^2/(x^2-9)=(12-x)/(x^2-9)
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Ecuación x^3+3*x^2=16*x+48
- Expresar {x} en función de y en la ecuación:
- 6*x+4*y=15
- -4*x+4*y=-9
- 3*x-12*y=-14
- 10*x-9*y=-10
- Gráfico de la función y =:
- 1/x-4
-
Expresiones idénticas
- cinco /x^ dos - uno cuatro x+ veinticuatro - cuatro /x^ dos -16x+ cuarenta y ocho =1/x-4
- 5 dividir por x al cuadrado menos 14x más 24 menos 4 dividir por x al cuadrado menos 16x más 48 es igual a 1 dividir por x menos 4
- cinco dividir por x en el grado dos menos uno cuatro x más veinticuatro menos cuatro dividir por x en el grado dos menos 16x más cuarenta y ocho es igual a 1 dividir por x menos 4
- 5/x2-14x+24-4/x2-16x+48=1/x-4
- 5/x²-14x+24-4/x²-16x+48=1/x-4
- 5/x en el grado 2-14x+24-4/x en el grado 2-16x+48=1/x-4
- 5 dividir por x^2-14x+24-4 dividir por x^2-16x+48=1 dividir por x-4
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Expresiones semejantes
- 5/x^2-14x+24-4/x^2-16x+48=1/x+4
- 5/x^2+14x+24-4/x^2-16x+48=1/x-4
- 5/x^2-14x+24+4/x^2-16x+48=1/x-4
- 5/x^2-14x-24-4/x^2-16x+48=1/x-4
- (2*x-1)/(x-4)-(x^2-x-4)/(x-4)^2=0
- 2*x-1/(x-4)=1+2/5*x
- 5/x^2-14x+24-4/x^2+16x+48=1/x-4
- 5/x^2-14x+24-4/x^2-16x-48=1/x-4
5/x^2-14x+24-4/x^2-16x+48=1/x-4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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5 4 1 -- - 14*x + 24 - -- - 16*x + 48 = - - 4 2 2 x x x
$$\left(- 16 x + \left(\left(\left(- 14 x + \frac{5}{x^{2}}\right) + 24\right) - \frac{4}{x^{2}}\right)\right) + 48 = -4 + \frac{1}{x}$$
Respuesta rápida
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____________________ / ____________________ \
/ _______ | / _______ |
/ 220433 \/ 16051 | ___ / 220433 \/ 16051 |
3 / ------ + --------- | \/ 3 *3 / ------ + --------- ___ |
38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 |
x1 = -- - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------|
45 ____________________ 2 | 2 ____________________|
/ _______ | / _______ |
/ 220433 \/ 16051 | / 220433 \/ 16051 |
8100*3 / ------ + --------- | 8100*3 / ------ + --------- |
\/ 364500 900 \ \/ 364500 900 /
$$x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} + \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}\right)$$
____________________ / ____________________ \
/ _______ | / _______ |
/ 220433 \/ 16051 | ___ / 220433 \/ 16051 |
3 / ------ + --------- |\/ 3 *3 / ------ + --------- ___ |
38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 |
x2 = -- - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------|
45 ____________________ 2 | 2 ____________________|
/ _______ | / _______ |
/ 220433 \/ 16051 | / 220433 \/ 16051 |
8100*3 / ------ + --------- | 8100*3 / ------ + --------- |
\/ 364500 900 \ \/ 364500 900 /
$$x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2}\right)$$
____________________
/ _______
38 / 220433 \/ 16051 2843
x3 = -- + 3 / ------ + --------- + ------------------------------
45 \/ 364500 900 ____________________
/ _______
/ 220433 \/ 16051
4050*3 / ------ + ---------
\/ 364500 900
$$x_{3} = \frac{2843}{4050 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}$$
x3 = 2843/(4050*(sqrt(16051)/900 + 220433/364500)^(1/3)) + 38/45 + (sqrt(16051)/900 + 220433/364500)^(1/3)
Suma y producto de raíces
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suma
____________________ / ____________________ \ ____________________ / ____________________ \
/ _______ | / _______ | / _______ | / _______ |
/ 220433 \/ 16051 | ___ / 220433 \/ 16051 | / 220433 \/ 16051 | ___ / 220433 \/ 16051 | ____________________
3 / ------ + --------- | \/ 3 *3 / ------ + --------- ___ | 3 / ------ + --------- |\/ 3 *3 / ------ + --------- ___ | / _______
38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 | 38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 | 38 / 220433 \/ 16051 2843
-- - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------| + -- - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------| + -- + 3 / ------ + --------- + ------------------------------
45 ____________________ 2 | 2 ____________________| 45 ____________________ 2 | 2 ____________________| 45 \/ 364500 900 ____________________
/ _______ | / _______ | / _______ | / _______ | / _______
/ 220433 \/ 16051 | / 220433 \/ 16051 | / 220433 \/ 16051 | / 220433 \/ 16051 | / 220433 \/ 16051
8100*3 / ------ + --------- | 8100*3 / ------ + --------- | 8100*3 / ------ + --------- | 8100*3 / ------ + --------- | 4050*3 / ------ + ---------
\/ 364500 900 \ \/ 364500 900 / \/ 364500 900 \ \/ 364500 900 / \/ 364500 900
$$\left(\frac{2843}{4050 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} + \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2}\right)\right)\right)$$
=
/ ____________________ \ / ____________________ \
| / _______ | | / _______ |
| ___ / 220433 \/ 16051 | | ___ / 220433 \/ 16051 |
|\/ 3 *3 / ------ + --------- ___ | | \/ 3 *3 / ------ + --------- ___ |
38 | \/ 364500 900 2843*\/ 3 | | \/ 364500 900 2843*\/ 3 |
-- + I*|------------------------------- - ------------------------------| + I*|- ------------------------------- + ------------------------------|
15 | 2 ____________________| | 2 ____________________|
| / _______ | | / _______ |
| / 220433 \/ 16051 | | / 220433 \/ 16051 |
| 8100*3 / ------ + --------- | | 8100*3 / ------ + --------- |
\ \/ 364500 900 / \ \/ 364500 900 /
$$\frac{38}{15} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} + \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}\right) + i \left(- \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2}\right)$$
producto
/ ____________________ / ____________________ \\ / ____________________ / ____________________ \\ | / _______ | / _______ || | / _______ | / _______ || | / 220433 \/ 16051 | ___ / 220433 \/ 16051 || | / 220433 \/ 16051 | ___ / 220433 \/ 16051 || / ____________________ \ | 3 / ------ + --------- | \/ 3 *3 / ------ + --------- ___ || | 3 / ------ + --------- |\/ 3 *3 / ------ + --------- ___ || | / _______ | |38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 || |38 2843 \/ 364500 900 | \/ 364500 900 2843*\/ 3 || |38 / 220433 \/ 16051 2843 | |-- - ------------------------------ - ------------------------- + I*|- ------------------------------- + ------------------------------||*|-- - ------------------------------ - ------------------------- + I*|------------------------------- - ------------------------------||*|-- + 3 / ------ + --------- + ------------------------------| |45 ____________________ 2 | 2 ____________________|| |45 ____________________ 2 | 2 ____________________|| |45 \/ 364500 900 ____________________| | / _______ | / _______ || | / _______ | / _______ || | / _______ | | / 220433 \/ 16051 | / 220433 \/ 16051 || | / 220433 \/ 16051 | / 220433 \/ 16051 || | / 220433 \/ 16051 | | 8100*3 / ------ + --------- | 8100*3 / ------ + --------- || | 8100*3 / ------ + --------- | 8100*3 / ------ + --------- || | 4050*3 / ------ + --------- | \ \/ 364500 900 \ \/ 364500 900 // \ \/ 364500 900 \ \/ 364500 900 // \ \/ 364500 900 /
$$\left(- \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} - \frac{2843}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}{2} + \frac{2843 \sqrt{3}}{8100 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}}\right)\right) \left(\frac{2843}{4050 \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}} + \frac{38}{45} + \sqrt[3]{\frac{\sqrt{16051}}{900} + \frac{220433}{364500}}\right)$$
=
1/30
$$\frac{1}{30}$$
1/30
Respuesta numérica
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x1 = 0.0039863412175104 - 0.114819614672412*i
x2 = 0.0039863412175104 + 0.114819614672412*i
x3 = 2.52536065089831
x3 = 2.52536065089831