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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
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Expresiones idénticas
- atan(x-y^ dos)
- arco tangente de gente de (x menos y al cuadrado )
- arco tangente de gente de (x menos y en el grado dos)
- atan(x-y2)
- atanx-y2
- atan(x-y²)
- atan(x-y en el grado 2)
- atanx-y^2
-
Expresiones semejantes
- atan(x+y^2)
- arctan(x-y^2)
-
Expresiones con funciones
- Arcotangente arctan
- atan(x)=(2*(-1)^(m*m)*x^2+(-1)^((m*x)^2)+m^2+5*m-x^2+4)/4
- atan(x)+3*x=pi/2
- atan(x)=2
- atan(x)-(1/(3*x^3))=0
- atan(x)+(1/(3×x^3))=0
atan(x-y^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
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))\
- \/ im (x) + re (x) *cos|-------------------| - I*\/ im (x) + re (x) *sin|-------------------| + \/ im (x) + re (x) *cos|-------------------| + I*\/ im (x) + re (x) *sin|-------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right)$$
=
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))\| |- \/ im (x) + re (x) *cos|-------------------| - I*\/ im (x) + re (x) *sin|-------------------||*|\/ im (x) + re (x) *cos|-------------------| + I*\/ im (x) + re (x) *sin|-------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right)$$
=
_________________ / 2 2 I*atan2(im(x), re(x)) -\/ im (x) + re (x) *e
$$- \sqrt{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}$$
-sqrt(im(x)^2 + re(x)^2)*exp(i*atan2(im(x), re(x)))
Respuesta rápida
[src]
_________________ _________________
4 / 2 2 /atan2(im(x), re(x))\ 4 / 2 2 /atan2(im(x), re(x))\
y1 = - \/ im (x) + re (x) *cos|-------------------| - I*\/ im (x) + re (x) *sin|-------------------|
\ 2 / \ 2 /
$$y_{1} = - i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}$$
_________________ _________________
4 / 2 2 /atan2(im(x), re(x))\ 4 / 2 2 /atan2(im(x), re(x))\
y2 = \/ im (x) + re (x) *cos|-------------------| + I*\/ im (x) + re (x) *sin|-------------------|
\ 2 / \ 2 /
$$y_{2} = i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)}$$
y2 = i*(re(x)^2 + im(x)^2)^(1/4)*sin(atan2(im(x, re(x))/2) + (re(x)^2 + im(x)^2)^(1/4)*cos(atan2(im(x), re(x))/2))