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Otras calculadoras
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- La ecuación:
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Ecuación x/4+13=x+1
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación 5(x-2)^2=-6x-44
- Expresar {x} en función de y en la ecuación:
- -2*x+14*y=9
- -6*x-20*y=8
- 2*x-8*y=4
- -9*x-1*y=6
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Expresiones idénticas
- sqrtx- cuatro =sqrta
- raíz cuadrada de x menos 4 es igual a raíz cuadrada de a
- raíz cuadrada de x menos cuatro es igual a raíz cuadrada de a
- √x-4=√a
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Expresiones semejantes
- sqrt(absolute(x-2))=3x
- sqrt(a-x)=2-x
- sqrt(x-4)+sqrt(x+4)=4
- (sqrt((x-4)*(x+2)^2))^3=0
- h=sqrt(a^2-2*a*b+b^2-((a+b)/2))
- (sqrt(x)-4)/(2*x-5)=0
- sqrt(x-4)+2*sqrt4(x-4)=35
- sqrtx+4=sqrta
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Expresiones con funciones
- sqrtx
- sqrtx-a*sinx=sqrtx-a*cosx
- sqrtx*2+x+4=4
- sqrtx-2/3=0
- sqrtx+4=x-3
- sqrtx(x+5)=6
- sqrta
- sqrta^2+2*a-10=5
sqrtx-4=sqrta la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Suma y producto de raíces
[src]
suma
2 / _________________ \ _________________ _________________ / _________________ \ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ 4 / 2 2 | 4 / 2 2 /atan2(im(a), re(a))\| /atan2(im(a), re(a))\ |4 + \/ im (a) + re (a) *cos|-------------------|| - \/ im (a) + re (a) *sin |-------------------| + 2*I*\/ im (a) + re (a) *|4 + \/ im (a) + re (a) *cos|-------------------||*sin|-------------------| \ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + 2 i \left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right) \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}$$
=
2 / _________________ \ _________________ _________________ / _________________ \ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ 4 / 2 2 | 4 / 2 2 /atan2(im(a), re(a))\| /atan2(im(a), re(a))\ |4 + \/ im (a) + re (a) *cos|-------------------|| - \/ im (a) + re (a) *sin |-------------------| + 2*I*\/ im (a) + re (a) *|4 + \/ im (a) + re (a) *cos|-------------------||*sin|-------------------| \ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + 2 i \left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right) \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}$$
producto
2 / _________________ \ _________________ _________________ / _________________ \ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ 4 / 2 2 | 4 / 2 2 /atan2(im(a), re(a))\| /atan2(im(a), re(a))\ |4 + \/ im (a) + re (a) *cos|-------------------|| - \/ im (a) + re (a) *sin |-------------------| + 2*I*\/ im (a) + re (a) *|4 + \/ im (a) + re (a) *cos|-------------------||*sin|-------------------| \ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + 2 i \left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right) \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}$$
=
_________________ _________________
4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\
16 + I*im(a) + 8*\/ im (a) + re (a) *cos|-------------------| + 8*I*\/ im (a) + re (a) *sin|-------------------| + re(a)
\ 2 / \ 2 /
$$8 i \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 16$$
16 + i*im(a) + 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2) + 8*i*(im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2) + re(a)
Respuesta rápida
[src]
2
/ _________________ \ _________________ _________________ / _________________ \
| 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ 4 / 2 2 | 4 / 2 2 /atan2(im(a), re(a))\| /atan2(im(a), re(a))\
x1 = |4 + \/ im (a) + re (a) *cos|-------------------|| - \/ im (a) + re (a) *sin |-------------------| + 2*I*\/ im (a) + re (a) *|4 + \/ im (a) + re (a) *cos|-------------------||*sin|-------------------|
\ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$x_{1} = \left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + 2 i \left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right) \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} - \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}$$
x1 = ((re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a, re(a))/2) + 4)^2 + 2*i*((re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2) + 4)*(re(a)^2 + im(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2) - sqrt(re(a)^2 + im(a)^2)*sin(atan2(im(a), re(a))/2)^2)