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- La ecuación:
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Ecuación (8/2)^(x+8)=6^x
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Ecuación 2+x=6
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Ecuación (x+3)/(x-3)=(2*x+3)/x
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Ecuación (5*x-7)/(x-3)=(4*x-3)/x
- Expresar {x} en función de y en la ecuación:
- 9*x+7*y=4
- 3*x-2*y=-9
- -17*x+14*y=11
- -4*x-13*y=6
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Expresiones idénticas
- uno /√(x)= diez *((x- uno)^ dos)- uno
- 1 dividir por √(x) es igual a 10 multiplicar por ((x menos 1) al cuadrado ) menos 1
- uno dividir por √(x) es igual a diez multiplicar por ((x menos uno) en el grado dos) menos uno
- 1/√(x)=10*((x-1)2)-1
- 1/√x=10*x-12-1
- 1/√(x)=10*((x-1)²)-1
- 1/√(x)=10*((x-1) en el grado 2)-1
- 1/√(x)=10((x-1)^2)-1
- 1/√(x)=10((x-1)2)-1
- 1/√x=10x-12-1
- 1/√x=10x-1^2-1
- 1 dividir por √(x)=10*((x-1)^2)-1
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Expresiones semejantes
- 1/√(x)=10*((x+1)^2)-1
- √x^2-1=(x+7)(√x+1/√x-1)
- 1/√(x)=10*((x-1)^2)+1
- 1/(√x)=1/3
1/√(x)=10*((x-1)^2)-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 2 ----- = 10*(x - 1) - 1 ___ \/ x
$$\frac{1}{\sqrt{x}} = 10 \left(x - 1\right)^{2} - 1$$
Respuesta rápida
[src]
2
/ _________________________________________________________________________________________________________________________________________________\
| / ____________________ |
| / / _______ |
| / 11 / 61 I*\/ 14055 7 3 |
| / -- - 2*3 / ---- + ----------- - ---------------------------- - ----------------------------------------------------------------------------- |
| _________________________________________________________________ / 6 \/ 4320 7200 ____________________ _________________________________________________________________ |
| / ____________________ / / _______ / ____________________ |
| / / _______ / / 61 I*\/ 14055 / / _______ |
| / 11 / 61 I*\/ 14055 7 / 45*3 / ---- + ----------- / 11 / 61 I*\/ 14055 7 |
| / -- + 2*3 / ---- + ----------- + ---------------------------- / \/ 4320 7200 4* / -- + 2*3 / ---- + ----------- + ---------------------------- |
| / 12 \/ 4320 7200 ____________________ / / 12 \/ 4320 7200 ____________________ |
| / / _______ / / / _______ |
| / / 61 I*\/ 14055 / / / 61 I*\/ 14055 |
| / 45*3 / ---- + ----------- / / 45*3 / ---- + ----------- |
|1 \/ \/ 4320 7200 \/ \/ \/ 4320 7200 |
x1 = |- + --------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------|
\4 2 2 /
$$x_{1} = \left(\frac{1}{4} + \frac{\sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}{2} - \frac{\sqrt{\frac{11}{6} - 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}} - \frac{3}{4 \sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}} - \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}}{2}\right)^{2}$$
2
/ _________________________________________________________________________________________________________________________________________________\
| / ____________________ |
| / / _______ |
| / 11 / 61 I*\/ 14055 7 3 |
| / -- - 2*3 / ---- + ----------- - ---------------------------- - ----------------------------------------------------------------------------- |
| _________________________________________________________________ / 6 \/ 4320 7200 ____________________ _________________________________________________________________ |
| / ____________________ / / _______ / ____________________ |
| / / _______ / / 61 I*\/ 14055 / / _______ |
| / 11 / 61 I*\/ 14055 7 / 45*3 / ---- + ----------- / 11 / 61 I*\/ 14055 7 |
| / -- + 2*3 / ---- + ----------- + ---------------------------- / \/ 4320 7200 4* / -- + 2*3 / ---- + ----------- + ---------------------------- |
| / 12 \/ 4320 7200 ____________________ / / 12 \/ 4320 7200 ____________________ |
| / / _______ / / / _______ |
| / / 61 I*\/ 14055 / / / 61 I*\/ 14055 |
| / 45*3 / ---- + ----------- / / 45*3 / ---- + ----------- |
|1 \/ \/ 4320 7200 \/ \/ \/ 4320 7200 |
x2 = |- + --------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------|
\4 2 2 /
$$x_{2} = \left(\frac{1}{4} + \frac{\sqrt{\frac{11}{6} - 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}} - \frac{3}{4 \sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}} - \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}}{2} + \frac{\sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}{2}\right)^{2}$$
2
/ _________________________________________________________________________________________________________________________________________________ \
| / ____________________ |
| / / _______ |
| / 11 / 61 I*\/ 14055 7 3 |
| / -- - 2*3 / ---- + ----------- - ---------------------------- + ----------------------------------------------------------------------------- |
| / 6 \/ 4320 7200 ____________________ _________________________________________________________________ _________________________________________________________________|
| / / _______ / ____________________ / ____________________ |
| / / 61 I*\/ 14055 / / _______ / / _______ |
| / 45*3 / ---- + ----------- / 11 / 61 I*\/ 14055 7 / 11 / 61 I*\/ 14055 7 |
| / \/ 4320 7200 4* / -- + 2*3 / ---- + ----------- + ---------------------------- / -- + 2*3 / ---- + ----------- + ---------------------------- |
| / / 12 \/ 4320 7200 ____________________ / 12 \/ 4320 7200 ____________________ |
| / / / _______ / / _______ |
| / / / 61 I*\/ 14055 / / 61 I*\/ 14055 |
| / / 45*3 / ---- + ----------- / 45*3 / ---- + ----------- |
|1 \/ \/ \/ 4320 7200 \/ \/ 4320 7200 |
x3 = |- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------|
\4 2 2 /
$$x_{3} = \left(\frac{1}{4} + \frac{\sqrt{\frac{11}{6} - 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}} + \frac{3}{4 \sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}} - \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}}{2} - \frac{\sqrt{\frac{11}{12} + \frac{7}{45 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}} + 2 \sqrt[3]{\frac{61}{4320} + \frac{\sqrt{14055} i}{7200}}}}{2}\right)^{2}$$
x3 = (1/4 + sqrt(11/6 - 2*(61/4320 + sqrt(14055)*i/7200)^(1/3) + 3/(4*sqrt(11/12 + 7/(45*(61/4320 + sqrt(14055)*i/7200)^(1/3)) + 2*(61/4320 + sqrt(14055)*i/7200)^(1/3))) - 7/(45*(61/4320 + sqrt(14055)*i/7200)^(1/3)))/2 - sqrt(11/12 + 7/(45*(61/4320 + sqrt(14055)*i/7200)^(1/3)) + 2*(61/4320 + sqrt(14055)*i/7200)^(1/3))/2)^2
Respuesta numérica
[src]
x1 = 0.510085434811862 + 0.e-31*i
x2 = 1.4285630050769 - 0.e-31*i
x3 = 0.0130914764667375 - 0.e-32*i
x3 = 0.0130914764667375 - 0.e-32*i