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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
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Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
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Expresiones idénticas
- cinco (x- cuatro)= tres x-10і7(x+3)- dos (x- cinco)= ocho
- 5(x menos 4) es igual a 3x menos 10і7(x más 3) menos 2(x menos 5) es igual a 8
- cinco (x menos cuatro) es igual a tres x menos 10і7(x más 3) menos dos (x menos cinco) es igual a ocho
- 5x-4=3x-10і7x+3-2x-5=8
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Expresiones semejantes
- 5(x-4)=3x+10і7(x+3)-2(x-5)=8
- 5(x-4)=3x-10і7(x+3)+2(x-5)=8
- (x-7)*(x+4,5)*(x-4/9)=0
- 0,6(5x-4)=7-(6x-8,6)
- x^2-5*x-4=0
- x^6=(5x-4)^3
- 5(x+4)=3x-10і7(x+3)-2(x-5)=8
- 5(x-4)=3x-10і7(x-3)-2(x-5)=8
- 5(x-4)=3x-10і7(x+3)-2(x+5)=8
5(x-4)=3x-10і7(x+3)-2(x-5)=8 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
5*(x - 4) = 3*x - 10*i7*(x + 3) - 2*(x - 5)
$$5 \left(x - 4\right) = - 2 \left(x - 5\right) + \left(- 10 i_{7} \left(x + 3\right) + 3 x\right)$$
Gráfica
Respuesta rápida
[src]
2
/ 75*(1 - re(i7))*im(i7) 15*(2 + 5*re(i7))*im(i7) \ 75*im (i7) 15*(1 - re(i7))*(2 + 5*re(i7))
x1 = I*|- ---------------------------- - ----------------------------| - ---------------------------- + ------------------------------
| 2 2 2 2 | 2 2 2 2
\ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)/ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)
$$x_{1} = \frac{15 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{75 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{15 \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{75 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
x1 = 15*(1 - re(i7))*(5*re(i7) + 2)/((5*re(i7) + 2)^2 + 25*im(i7)^2) + i*(-75*(1 - re(i7))*im(i7)/((5*re(i7) + 2)^2 + 25*im(i7)^2) - 15*(5*re(i7) + 2)*im(i7)/((5*re(i7) + 2)^2 + 25*im(i7)^2)) - 75*im(i7)^2/((5*re(i7) + 2)^2 + 25*im(i7)^2)
Suma y producto de raíces
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suma
2 / 75*(1 - re(i7))*im(i7) 15*(2 + 5*re(i7))*im(i7) \ 75*im (i7) 15*(1 - re(i7))*(2 + 5*re(i7)) I*|- ---------------------------- - ----------------------------| - ---------------------------- + ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)/ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)
$$\frac{15 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{75 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{15 \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{75 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
=
2 / 75*(1 - re(i7))*im(i7) 15*(2 + 5*re(i7))*im(i7) \ 75*im (i7) 15*(1 - re(i7))*(2 + 5*re(i7)) I*|- ---------------------------- - ----------------------------| - ---------------------------- + ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)/ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)
$$\frac{15 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{75 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{15 \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{75 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
producto
2 / 75*(1 - re(i7))*im(i7) 15*(2 + 5*re(i7))*im(i7) \ 75*im (i7) 15*(1 - re(i7))*(2 + 5*re(i7)) I*|- ---------------------------- - ----------------------------| - ---------------------------- + ------------------------------ | 2 2 2 2 | 2 2 2 2 \ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)/ (2 + 5*re(i7)) + 25*im (i7) (2 + 5*re(i7)) + 25*im (i7)
$$\frac{15 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{75 \left(1 - \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{15 \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right) \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{75 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
=
/ 2 \
-\75*im (i7) + 15*(-1 + re(i7))*(2 + 5*re(i7)) + 105*I*im(i7)/
---------------------------------------------------------------
2 2
(2 + 5*re(i7)) + 25*im (i7)
$$- \frac{15 \left(\operatorname{re}{\left(i_{7}\right)} - 1\right) \left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right) + 75 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2} + 105 i \operatorname{im}{\left(i_{7}\right)}}{\left(5 \operatorname{re}{\left(i_{7}\right)} + 2\right)^{2} + 25 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
-(75*im(i7)^2 + 15*(-1 + re(i7))*(2 + 5*re(i7)) + 105*i*im(i7))/((2 + 5*re(i7))^2 + 25*im(i7)^2)