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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2-5x=0
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Ecuación x^2+4=5x
- Ecuación x^4-35*x^2-36=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- -17*x-15*y=-17
- -9*x+11*y=9
- 4*x+8*y=7
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Expresiones idénticas
- dieciséis - dos *x^ dos /(x^ dos + ocho)^ dos = cero
- 16 menos 2 multiplicar por x al cuadrado dividir por (x al cuadrado más 8) al cuadrado es igual a 0
- dieciséis menos dos multiplicar por x en el grado dos dividir por (x en el grado dos más ocho) en el grado dos es igual a cero
- 16-2*x2/(x2+8)2=0
- 16-2*x2/x2+82=0
- 16-2*x²/(x²+8)²=0
- 16-2*x en el grado 2/(x en el grado 2+8) en el grado 2=0
- 16-2x^2/(x^2+8)^2=0
- 16-2x2/(x2+8)2=0
- 16-2x2/x2+82=0
- 16-2x^2/x^2+8^2=0
- 16-2*x^2/(x^2+8)^2=O
- 16-2*x^2 dividir por (x^2+8)^2=0
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Expresiones semejantes
- 16+2*x^2/(x^2+8)^2=0
- 16-2*x^2/(x^2-8)^2=0
16-2*x^2/(x^2+8)^2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
2*x
16 - --------- = 0
2
/ 2 \
\x + 8/
$$- \frac{2 x^{2}}{\left(x^{2} + 8\right)^{2}} + 16 = 0$$
Suma y producto de raíces
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suma
/ / _____\\ / / _____\\ / / _____\\ / / _____\\ / / _____\\ / / _____\\ / / _____\\ / / _____\\
| |\/ 255 || | |\/ 255 || | |\/ 255 || | |\/ 255 || | |\/ 255 || | |\/ 255 || | |\/ 255 || | |\/ 255 ||
|atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------|| |atan|-------||
___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /| ___ | \ 127 /|
- 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------| + - 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------| + 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------| + 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
\ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$\left(\left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) + \left(\left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) + \left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)\right)\right) + \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)$$
=
0
$$0$$
producto
/ / / _____\\ / / _____\\\ / / / _____\\ / / _____\\\ / / / _____\\ / / _____\\\ / / / _____\\ / / _____\\\ | | |\/ 255 || | |\/ 255 ||| | | |\/ 255 || | |\/ 255 ||| | | |\/ 255 || | |\/ 255 ||| | | |\/ 255 || | |\/ 255 ||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | ___ | \ 127 /| ___ | \ 127 /|| | ___ | \ 127 /| ___ | \ 127 /|| | ___ | \ 127 /| ___ | \ 127 /|| | ___ | \ 127 /| ___ | \ 127 /|| |- 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------||*|- 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------||*|2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------||*|2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 // \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(- 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right) \left(2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)$$
=
2 2 / / / _____\\ / / _____\\\ / / / _____\\ / / _____\\\ | | |\/ 255 || | |\/ 255 ||| | | |\/ 255 || | |\/ 255 ||| | |atan|-------|| |atan|-------||| | |atan|-------|| |atan|-------||| | | \ 127 /| | \ 127 /|| | | \ 127 /| | \ 127 /|| 64*|I*cos|-------------| + sin|-------------|| *|- I*cos|-------------| + sin|-------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$64 \left(\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)^{2} \left(\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}\right)^{2}$$
64*(i*cos(atan(sqrt(255)/127)/2) + sin(atan(sqrt(255)/127)/2))^2*(-i*cos(atan(sqrt(255)/127)/2) + sin(atan(sqrt(255)/127)/2))^2
Respuesta rápida
[src]
/ / _____\\ / / _____\\
| |\/ 255 || | |\/ 255 ||
|atan|-------|| |atan|-------||
___ | \ 127 /| ___ | \ 127 /|
x1 = - 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------|
\ 2 / \ 2 /
$$x_{1} = - 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}$$
/ / _____\\ / / _____\\
| |\/ 255 || | |\/ 255 ||
|atan|-------|| |atan|-------||
___ | \ 127 /| ___ | \ 127 /|
x2 = - 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
\ 2 / \ 2 /
$$x_{2} = - 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}$$
/ / _____\\ / / _____\\
| |\/ 255 || | |\/ 255 ||
|atan|-------|| |atan|-------||
___ | \ 127 /| ___ | \ 127 /|
x3 = 2*\/ 2 *sin|-------------| - 2*I*\/ 2 *cos|-------------|
\ 2 / \ 2 /
$$x_{3} = 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} - 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}$$
/ / _____\\ / / _____\\
| |\/ 255 || | |\/ 255 ||
|atan|-------|| |atan|-------||
___ | \ 127 /| ___ | \ 127 /|
x4 = 2*\/ 2 *sin|-------------| + 2*I*\/ 2 *cos|-------------|
\ 2 / \ 2 /
$$x_{4} = 2 \sqrt{2} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)} + 2 \sqrt{2} i \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{255}}{127} \right)}}{2} \right)}$$
x4 = 2*sqrt(2)*sin(atan(sqrt(255)/127)/2) + 2*sqrt(2)*i*cos(atan(sqrt(255)/127)/2)
Respuesta numérica
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x1 = -0.176776695296637 - 2.82289744765905*i
x2 = -0.176776695296637 + 2.82289744765905*i
x3 = 0.176776695296637 - 2.82289744765905*i
x4 = 0.176776695296637 + 2.82289744765905*i
x4 = 0.176776695296637 + 2.82289744765905*i