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- La ecuación:
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Ecuación 2+x=6
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Ecuación 9x^2-1=0
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Ecuación -0,6x^2+18=0
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Ecuación 1/(1+e^(-x))=0.49
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 4*x-4*y=-19
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Expresiones idénticas
- 4а(x+ cinco)- nueve (x- cinco)= cero
- 4а(x más 5) menos 9(x menos 5) es igual a 0
- 4а(x más cinco) menos nueve (x menos cinco) es igual a cero
- 4аx+5-9x-5=0
- 4а(x+5)-9(x-5)=O
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Expresiones semejantes
- 4а(x+5)+9(x-5)=0
- 4а(x-5)-9(x-5)=0
- 4а(x+5)-9(x+5)=0
4а(x+5)-9(x-5)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4*a*(x + 5) - 9*(x - 5) = 0
$$4 a \left(x + 5\right) - 9 \left(x - 5\right) = 0$$
Gráfica
Respuesta rápida
[src]
2
/ 20*(-9 + 4*re(a))*im(a) 4*(45 + 20*re(a))*im(a) \ 80*im (a) (-9 + 4*re(a))*(45 + 20*re(a))
x1 = I*|- --------------------------- + ---------------------------| - --------------------------- - ------------------------------
| 2 2 2 2 | 2 2 2 2
\ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)/ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)
$$x_{1} = i \left(- \frac{20 \left(4 \operatorname{re}{\left(a\right)} - 9\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{4 \left(20 \operatorname{re}{\left(a\right)} + 45\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) - \frac{\left(4 \operatorname{re}{\left(a\right)} - 9\right) \left(20 \operatorname{re}{\left(a\right)} + 45\right)}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} - \frac{80 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
x1 = i*(-20*(4*re(a) - 9)*im(a)/((4*re(a) - 9)^2 + 16*im(a)^2) + 4*(20*re(a) + 45)*im(a)/((4*re(a) - 9)^2 + 16*im(a)^2)) - (4*re(a) - 9)*(20*re(a) + 45)/((4*re(a) - 9)^2 + 16*im(a)^2) - 80*im(a)^2/((4*re(a) - 9)^2 + 16*im(a)^2)
Suma y producto de raíces
[src]
suma
2 / 20*(-9 + 4*re(a))*im(a) 4*(45 + 20*re(a))*im(a) \ 80*im (a) (-9 + 4*re(a))*(45 + 20*re(a)) I*|- --------------------------- + ---------------------------| - --------------------------- - ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)/ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)
$$i \left(- \frac{20 \left(4 \operatorname{re}{\left(a\right)} - 9\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{4 \left(20 \operatorname{re}{\left(a\right)} + 45\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) - \frac{\left(4 \operatorname{re}{\left(a\right)} - 9\right) \left(20 \operatorname{re}{\left(a\right)} + 45\right)}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} - \frac{80 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
=
2 / 20*(-9 + 4*re(a))*im(a) 4*(45 + 20*re(a))*im(a) \ 80*im (a) (-9 + 4*re(a))*(45 + 20*re(a)) I*|- --------------------------- + ---------------------------| - --------------------------- - ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)/ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)
$$i \left(- \frac{20 \left(4 \operatorname{re}{\left(a\right)} - 9\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{4 \left(20 \operatorname{re}{\left(a\right)} + 45\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) - \frac{\left(4 \operatorname{re}{\left(a\right)} - 9\right) \left(20 \operatorname{re}{\left(a\right)} + 45\right)}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} - \frac{80 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
producto
2 / 20*(-9 + 4*re(a))*im(a) 4*(45 + 20*re(a))*im(a) \ 80*im (a) (-9 + 4*re(a))*(45 + 20*re(a)) I*|- --------------------------- + ---------------------------| - --------------------------- - ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)/ (-9 + 4*re(a)) + 16*im (a) (-9 + 4*re(a)) + 16*im (a)
$$i \left(- \frac{20 \left(4 \operatorname{re}{\left(a\right)} - 9\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{4 \left(20 \operatorname{re}{\left(a\right)} + 45\right) \operatorname{im}{\left(a\right)}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) - \frac{\left(4 \operatorname{re}{\left(a\right)} - 9\right) \left(20 \operatorname{re}{\left(a\right)} + 45\right)}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}} - \frac{80 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{\left(4 \operatorname{re}{\left(a\right)} - 9\right)^{2} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2}}$$
=
/ 2 2 \
5*\81 - 16*im (a) - 16*re (a) + 72*I*im(a)/
-------------------------------------------
2 2
81 - 72*re(a) + 16*im (a) + 16*re (a)
$$\frac{5 \left(- 16 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 72 i \operatorname{im}{\left(a\right)} + 81\right)}{16 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 72 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 81}$$
5*(81 - 16*im(a)^2 - 16*re(a)^2 + 72*i*im(a))/(81 - 72*re(a) + 16*im(a)^2 + 16*re(a)^2)