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- La ecuación:
-
Ecuación x+9=0
-
Ecuación 2x^2+7x-9=0
-
Ecuación 3,4+2y=7(y-2,3)
-
Ecuación 9x-4x+39=94
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
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Expresiones idénticas
- sqrt(x- dos a)+sqrt(x-a)=2
- raíz cuadrada de (x menos 2a) más raíz cuadrada de (x menos a) es igual a 2
- raíz cuadrada de (x menos dos a) más raíz cuadrada de (x menos a) es igual a 2
- √(x-2a)+√(x-a)=2
- sqrtx-2a+sqrtx-a=2
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Expresiones semejantes
- sqrt(x+2a)+sqrt(x-a)=2
- sqrt(x-2a)+sqrt(x+a)=2
- sqrt(x-2a)-sqrt(x-a)=2
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x^2-5*x)-2*x+12=0
- sqrt(8-x)=6
- sqrt(x+2)*(3x-2)=4
- sqrt(x^2+9)=81
- sqrt(2)sin(x)=sqrt(cos(2x))
- Raíz cuadrada sqrt
- sqrt(x^2-5*x)-2*x+12=0
- sqrt(8-x)=6
- sqrt(x+2)*(3x-2)=4
- sqrt(x^2+9)=81
- sqrt(2)sin(x)=sqrt(cos(2x))
sqrt(x-2a)+sqrt(x-a)=2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
_________ _______ \/ x - 2*a + \/ x - a = 2
$$\sqrt{- 2 a + x} + \sqrt{- a + x} = 2$$
Gráfica
Suma y producto de raíces
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suma
_______________________ _______________________ _______________________ _______________________
4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\
-12 - 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| - 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------| + -12 + 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| + 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- 4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12\right) + \left(4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} + 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12\right)$$
=
-24
$$-24$$
producto
/ _______________________ _______________________ \ / _______________________ _______________________ \ | 4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\| | 4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\| |-12 - 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| - 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------||*|-12 + 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| + 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- 4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12\right) \left(4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} + 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12\right)$$
=
16 - 16*re(x) - 16*I*im(x)
$$- 16 \operatorname{re}{\left(x\right)} - 16 i \operatorname{im}{\left(x\right)} + 16$$
16 - 16*re(x) - 16*i*im(x)
Respuesta rápida
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_______________________ _______________________
4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\
a1 = -12 - 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| - 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$a_{1} = - 4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12$$
_______________________ _______________________
4 / 2 2 /atan2(im(x), 8 + re(x))\ 4 / 2 2 /atan2(im(x), 8 + re(x))\
a2 = -12 + 4*\/ (8 + re(x)) + im (x) *cos|-----------------------| + 4*I*\/ (8 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$a_{2} = 4 i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} + 4 \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 8\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 8 \right)}}{2} \right)} - 12$$
a2 = 4*i*((re(x) + 8)^2 + im(x)^2)^(1/4)*sin(atan2(im(x, re(x) + 8)/2) + 4*((re(x) + 8)^2 + im(x)^2)^(1/4)*cos(atan2(im(x), re(x) + 8)/2) - 12)