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Otras calculadoras
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- La ecuación:
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Ecuación x^2-6x+9=0
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Ecuación (x-11)^4=(x+3)^4
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Ecuación √(x^2-1)^3=2*x
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Ecuación -x/12+x=55/12
- Expresar {x} en función de y en la ecuación:
- 18*x-11*y=2
- 12*x-14*y=20
- -3*x-20*y=-13
- -16*x+14*y=-9
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Expresiones idénticas
- arcsin(dos x+y^2)
- arc seno de (2x más y al cuadrado )
- arc seno de (dos x más y al cuadrado )
- arcsin(2x+y2)
- arcsin2x+y2
- arcsin(2x+y²)
- arcsin(2x+y en el grado 2)
- arcsin2x+y^2
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Expresiones semejantes
- arcsin(2x-y^2)
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Expresiones con funciones
- arcsin
- arcsin(y)=-e^(x^2)
- arcsin(2/x)+arcctg(sqrt(x^2-4)/2)=0
- arcsin(absolute(x/3-4))=arccos(absolute(x-12+sqrt(10)))
- arcsin(x)+arcsin(x/2)=pi
- arcsin(x*y)=arcsin(x+y)
arcsin(2x+y^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
_________________ _________________
___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\
y1 = - \/ 2 *\/ im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/ im (x) + re (x) *sin|---------------------|
\ 2 / \ 2 /
$$y_{1} = - \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}$$
_________________ _________________
___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\
y2 = \/ 2 *\/ im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/ im (x) + re (x) *sin|---------------------|
\ 2 / \ 2 /
$$y_{2} = \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}$$
y2 = sqrt(2)*i*(re(x)^2 + im(x)^2)^(1/4)*sin(atan2(-im(x, -re(x))/2) + sqrt(2)*(re(x)^2 + im(x)^2)^(1/4)*cos(atan2(-im(x), -re(x))/2))
Suma y producto de raíces
[src]
suma
_________________ _________________ _________________ _________________
___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\
- \/ 2 *\/ im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/ im (x) + re (x) *sin|---------------------| + \/ 2 *\/ im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/ im (x) + re (x) *sin|---------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) + \left(\sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right)$$
=
0
$$0$$
producto
/ _________________ _________________ \ / _________________ _________________ \ | ___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\| | ___ 4 / 2 2 /atan2(-im(x), -re(x))\ ___ 4 / 2 2 /atan2(-im(x), -re(x))\| |- \/ 2 *\/ im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/ im (x) + re (x) *sin|---------------------||*|\/ 2 *\/ im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/ im (x) + re (x) *sin|---------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) \left(\sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right)$$
=
_________________
/ 2 2 I*atan2(-im(x), -re(x))
-2*\/ im (x) + re (x) *e
$$- 2 \sqrt{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}$$
-2*sqrt(im(x)^2 + re(x)^2)*exp(i*atan2(-im(x), -re(x)))