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- La ecuación:
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Ecuación x^2-13*x+22=0
-
Ecuación x^2+11*x=0
-
Ecuación (-1+y)+2*y+4=0
- Ecuación 2*x+y=7
- Expresar {x} en función de y en la ecuación:
- 9*x+7*y=4
- 2*x+5*y=1
- -1*x+11*y=16
- -3*x-9*y=16
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Expresiones idénticas
- y=(2x+y- tres)/(x- uno)
- y es igual a (2x más y menos 3) dividir por (x menos 1)
- y es igual a (2x más y menos tres) dividir por (x menos uno)
- y=2x+y-3/x-1
- y=(2x+y-3) dividir por (x-1)
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Expresiones semejantes
- y=(2x+y+3)/(x-1)
- y=(2x-y-3)/(x-1)
- y=(2x+y-3)/(x+1)
y=(2x+y-3)/(x-1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2*x + y - 3
y = -----------
x - 1
$$y = \frac{\left(2 x + y\right) - 3}{x - 1}$$
Gráfica
Suma y producto de raíces
[src]
suma
2 / (-3 + 2*re(x))*im(x) 2*(-2 + re(x))*im(x) \ 2*im (x) (-3 + 2*re(x))*(-2 + re(x)) I*|- ---------------------- + ----------------------| + ---------------------- + --------------------------- | 2 2 2 2 | 2 2 2 2 \ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)/ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)
$$i \left(\frac{2 \left(\operatorname{re}{\left(x\right)} - 2\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} - \frac{\left(2 \operatorname{re}{\left(x\right)} - 3\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(x\right)} - 2\right) \left(2 \operatorname{re}{\left(x\right)} - 3\right)}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} + \frac{2 \left(\operatorname{im}{\left(x\right)}\right)^{2}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
=
2 / (-3 + 2*re(x))*im(x) 2*(-2 + re(x))*im(x) \ 2*im (x) (-3 + 2*re(x))*(-2 + re(x)) I*|- ---------------------- + ----------------------| + ---------------------- + --------------------------- | 2 2 2 2 | 2 2 2 2 \ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)/ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)
$$i \left(\frac{2 \left(\operatorname{re}{\left(x\right)} - 2\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} - \frac{\left(2 \operatorname{re}{\left(x\right)} - 3\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(x\right)} - 2\right) \left(2 \operatorname{re}{\left(x\right)} - 3\right)}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} + \frac{2 \left(\operatorname{im}{\left(x\right)}\right)^{2}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
producto
2 / (-3 + 2*re(x))*im(x) 2*(-2 + re(x))*im(x) \ 2*im (x) (-3 + 2*re(x))*(-2 + re(x)) I*|- ---------------------- + ----------------------| + ---------------------- + --------------------------- | 2 2 2 2 | 2 2 2 2 \ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)/ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)
$$i \left(\frac{2 \left(\operatorname{re}{\left(x\right)} - 2\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} - \frac{\left(2 \operatorname{re}{\left(x\right)} - 3\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(x\right)} - 2\right) \left(2 \operatorname{re}{\left(x\right)} - 3\right)}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} + \frac{2 \left(\operatorname{im}{\left(x\right)}\right)^{2}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
=
2
2*im (x) + (-3 + 2*re(x))*(-2 + re(x)) - I*im(x)
------------------------------------------------
2 2
(-2 + re(x)) + im (x)
$$\frac{\left(\operatorname{re}{\left(x\right)} - 2\right) \left(2 \operatorname{re}{\left(x\right)} - 3\right) + 2 \left(\operatorname{im}{\left(x\right)}\right)^{2} - i \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
(2*im(x)^2 + (-3 + 2*re(x))*(-2 + re(x)) - i*im(x))/((-2 + re(x))^2 + im(x)^2)
Respuesta rápida
[src]
2
/ (-3 + 2*re(x))*im(x) 2*(-2 + re(x))*im(x) \ 2*im (x) (-3 + 2*re(x))*(-2 + re(x))
y1 = I*|- ---------------------- + ----------------------| + ---------------------- + ---------------------------
| 2 2 2 2 | 2 2 2 2
\ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)/ (-2 + re(x)) + im (x) (-2 + re(x)) + im (x)
$$y_{1} = i \left(\frac{2 \left(\operatorname{re}{\left(x\right)} - 2\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} - \frac{\left(2 \operatorname{re}{\left(x\right)} - 3\right) \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(x\right)} - 2\right) \left(2 \operatorname{re}{\left(x\right)} - 3\right)}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} + \frac{2 \left(\operatorname{im}{\left(x\right)}\right)^{2}}{\left(\operatorname{re}{\left(x\right)} - 2\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
y1 = i*(2*(re(x) - 2)*im(x)/((re(x) - 2)^2 + im(x)^2) - (2*re(x) - 3)*im(x)/((re(x) - 2)^2 + im(x)^2)) + (re(x) - 2)*(2*re(x) - 3)/((re(x) - 2)^2 + im(x)^2) + 2*im(x)^2/((re(x) - 2)^2 + im(x)^2)