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- La ecuación:
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Ecuación (x+9)^2=36*x
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Ecuación a+120=2000/5
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Ecuación -x/11+x=50/11
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Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
- 8*x+6*y=20
- -2*x+18*y=13
- -11*x-1*y=15
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Expresiones idénticas
- x dos *(2*x+y)- tres *y2*(x+ cinco)= cuatro
- x2 multiplicar por (2 multiplicar por x más y) menos 3 multiplicar por y2 multiplicar por (x más 5) es igual a 4
- x dos multiplicar por (2 multiplicar por x más y) menos tres multiplicar por y2 multiplicar por (x más cinco) es igual a cuatro
- x2(2x+y)-3y2(x+5)=4
- x22x+y-3y2x+5=4
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Expresiones semejantes
- x2*(2*x+y)-3*y2*(x-5)=4
- x2*(2*x-y)-3*y2*(x+5)=4
- x2*(2*x+y)+3*y2*(x+5)=4
x2*(2*x+y)-3*y2*(x+5)=4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x2*(2*x + y) - 3*y2*(x + 5) = 4
$$x_{2} \left(2 x + y\right) - 3 y_{2} \left(x + 5\right) = 4$$
Gráfica
Respuesta rápida
[src]
/ (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\ (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)) (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2))
x1 = I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - -------------------------------------------------
| 2 2 2 2| 2 2 2 2
\(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) / (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))
$$x_{1} = i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}$$
x1 = i*((2*re(x2) - 3*re(y2))*(15*im(y2) - im(x2*y))/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2) + (-2*im(x2) + 3*im(y2))*(15*re(y2) - re(x2*y) + 4)/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2)) + (2*re(x2) - 3*re(y2))*(15*re(y2) - re(x2*y) + 4)/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2) - (-2*im(x2) + 3*im(y2))*(15*im(y2) - im(x2*y))/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2)
Suma y producto de raíces
[src]
suma
/ (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\ (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)) (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - ------------------------------------------------- | 2 2 2 2| 2 2 2 2 \(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) / (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))
$$i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}$$
=
/ (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\ (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)) (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - ------------------------------------------------- | 2 2 2 2| 2 2 2 2 \(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) / (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))
$$i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}$$
producto
/ (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\ (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)) (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - ------------------------------------------------- | 2 2 2 2| 2 2 2 2 \(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) / (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2)) (-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))
$$i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}$$
=
I*((-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) - (-3*im(y2) + 2*im(x2))*(4 - re(x2*y) + 15*re(y2))) + (-im(x2*y) + 15*im(y2))*(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))
$$\frac{i \left(\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right) - \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)\right) + \left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right) + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}$$
(i*((-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) - (-3*im(y2) + 2*im(x2))*(4 - re(x2*y) + 15*re(y2))) + (-im(x2*y) + 15*im(y2))*(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)))/((-3*im(y2) + 2*im(x2))^2 + (-3*re(y2) + 2*re(x2))^2)