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- La ecuación:
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Ecuación 3*x^2-x+2=0
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Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
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Ecuación 0,084:(6,2-x)=1,2
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -17*x+2*y=9
- 10*x-15*y=16
-
Expresiones idénticas
- x^ dos +(x- uno)*sqrt(tres *x-a)=x
- x al cuadrado más (x menos 1) multiplicar por raíz cuadrada de (3 multiplicar por x menos a) es igual a x
- x en el grado dos más (x menos uno) multiplicar por raíz cuadrada de (tres multiplicar por x menos a) es igual a x
- x^2+(x-1)*√(3*x-a)=x
- x2+(x-1)*sqrt(3*x-a)=x
- x2+x-1*sqrt3*x-a=x
- x²+(x-1)*sqrt(3*x-a)=x
- x en el grado 2+(x-1)*sqrt(3*x-a)=x
- x^2+(x-1)sqrt(3x-a)=x
- x2+(x-1)sqrt(3x-a)=x
- x2+x-1sqrt3x-a=x
- x^2+x-1sqrt3x-a=x
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Expresiones semejantes
- x^2-(x-1)*sqrt(3*x-a)=x
- x^2+(x-1)*sqrt(3*x+a)=x
- x^2+(x+1)*sqrt(3*x-a)=x
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(x+4)=sqrt3x
x^2+(x-1)*sqrt(3*x-a)=x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 _________ x + (x - 1)*\/ 3*x - a = x
$$x^{2} + \sqrt{- a + 3 x} \left(x - 1\right) = x$$
Gráfica
Suma y producto de raíces
[src]
suma
____________________________ ____________________________ ____________________________ ____________________________
4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\
\/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------| \/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------|
3 \ 2 / \ 2 / 3 \ 2 / \ 2 /
1 + - - ----------------------------------------------------------------- - ------------------------------------------------------------------- + - + ----------------------------------------------------------------- + -------------------------------------------------------------------
2 2 2 2 2 2
$$\left(\left(- \frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}\right) + 1\right) + \left(\frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}\right)$$
=
4
$$4$$
producto
/ ____________________________ ____________________________ \ / ____________________________ ____________________________ \ | 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\| | 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\| | \/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------|| | \/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------|| |3 \ 2 / \ 2 /| |3 \ 2 / \ 2 /| |- - ----------------------------------------------------------------- - -------------------------------------------------------------------|*|- + ----------------------------------------------------------------- + -------------------------------------------------------------------| \2 2 2 / \2 2 2 /
$$\left(- \frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}\right) \left(\frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}\right)$$
=
I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}$$
i*im(a) + re(a)
Respuesta rápida
[src]
x1 = 1
$$x_{1} = 1$$
____________________________ ____________________________
4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\
\/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------|
3 \ 2 / \ 2 /
x2 = - - ----------------------------------------------------------------- - -------------------------------------------------------------------
2 2 2
$$x_{2} = - \frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}$$
____________________________ ____________________________
4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\ 4 / 2 2 /atan2(-4*im(a), 9 - 4*re(a))\
\/ (9 - 4*re(a)) + 16*im (a) *cos|----------------------------| I*\/ (9 - 4*re(a)) + 16*im (a) *sin|----------------------------|
3 \ 2 / \ 2 /
x3 = - + ----------------------------------------------------------------- + -------------------------------------------------------------------
2 2 2
$$x_{3} = \frac{i \sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(9 - 4 \operatorname{re}{\left(a\right)}\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 4 \operatorname{im}{\left(a\right)},9 - 4 \operatorname{re}{\left(a\right)} \right)}}{2} \right)}}{2} + \frac{3}{2}$$
x3 = i*((9 - 4*re(a))^2 + 16*im(a)^2)^(1/4)*sin(atan2(-4*im(a, 9 - 4*re(a))/2)/2 + ((9 - 4*re(a))^2 + 16*im(a)^2)^(1/4)*cos(atan2(-4*im(a), 9 - 4*re(a))/2)/2 + 3/2)