Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 5*x^2+2*x-7=0
-
Ecuación x+120=40*5
-
Ecuación y(0)=1
-
Ecuación x-2,4/6=x+0,6/11
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
-
Expresiones idénticas
- cinco (x- cuatro)= tres -10і7(x+ tres)- dos (x- cinco)= ocho
- 5(x menos 4) es igual a 3 menos 10і7(x más 3) menos 2(x menos 5) es igual a 8
- cinco (x menos cuatro) es igual a tres menos 10і7(x más tres) menos dos (x menos cinco) es igual a ocho
- 5x-4=3-10і7x+3-2x-5=8
-
Expresiones semejantes
- 5(x-4)=3-10і7(x+3)+2(x-5)=8
- 5(x+4)=3-10і7(x+3)-2(x-5)=8
- 5(x-4)=3-10і7(x-3)-2(x-5)=8
- x-1+log(4,3)=log(4,(5^x-4^(x-1)))
- 5(x-4)=3+10і7(x+3)-2(x-5)=8
- 0,6(5x-4)=7-(6x-8.6)
- 5(x-4)=3-10і7(x+3)-2(x+5)=8
5(x-4)=3-10і7(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 - 10*i7*(x + 3) - 2*(x - 5)
$$5 \left(x - 4\right) = - 2 \left(x - 5\right) + \left(- 10 i_{7} \left(x + 3\right) + 3\right)$$
Gráfica
Suma y producto de raíces
[src]
suma
2 / 30*(7 + 10*re(i7))*im(i7) 30*(11 - 10*re(i7))*im(i7) \ 300*im (i7) 3*(7 + 10*re(i7))*(11 - 10*re(i7)) I*|- ------------------------------ - ------------------------------| - ------------------------------ + ---------------------------------- | 2 2 2 2 | 2 2 2 2 \ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)/ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)
$$\frac{3 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{30 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{30 \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{300 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
=
2 / 30*(7 + 10*re(i7))*im(i7) 30*(11 - 10*re(i7))*im(i7) \ 300*im (i7) 3*(7 + 10*re(i7))*(11 - 10*re(i7)) I*|- ------------------------------ - ------------------------------| - ------------------------------ + ---------------------------------- | 2 2 2 2 | 2 2 2 2 \ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)/ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)
$$\frac{3 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{30 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{30 \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{300 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
producto
2 / 30*(7 + 10*re(i7))*im(i7) 30*(11 - 10*re(i7))*im(i7) \ 300*im (i7) 3*(7 + 10*re(i7))*(11 - 10*re(i7)) I*|- ------------------------------ - ------------------------------| - ------------------------------ + ---------------------------------- | 2 2 2 2 | 2 2 2 2 \ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)/ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)
$$\frac{3 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{30 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{30 \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{300 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
=
/ 2 \
-\300*im (i7) + 3*(-11 + 10*re(i7))*(7 + 10*re(i7)) + 540*I*im(i7)/
--------------------------------------------------------------------
2 2
(7 + 10*re(i7)) + 100*im (i7)
$$- \frac{3 \left(10 \operatorname{re}{\left(i_{7}\right)} - 11\right) \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right) + 300 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2} + 540 i \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
-(300*im(i7)^2 + 3*(-11 + 10*re(i7))*(7 + 10*re(i7)) + 540*i*im(i7))/((7 + 10*re(i7))^2 + 100*im(i7)^2)
Respuesta rápida
[src]
2
/ 30*(7 + 10*re(i7))*im(i7) 30*(11 - 10*re(i7))*im(i7) \ 300*im (i7) 3*(7 + 10*re(i7))*(11 - 10*re(i7))
x1 = I*|- ------------------------------ - ------------------------------| - ------------------------------ + ----------------------------------
| 2 2 2 2 | 2 2 2 2
\ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)/ (7 + 10*re(i7)) + 100*im (i7) (7 + 10*re(i7)) + 100*im (i7)
$$x_{1} = \frac{3 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} + i \left(- \frac{30 \left(11 - 10 \operatorname{re}{\left(i_{7}\right)}\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}} - \frac{30 \left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right) \operatorname{im}{\left(i_{7}\right)}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}\right) - \frac{300 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}{\left(10 \operatorname{re}{\left(i_{7}\right)} + 7\right)^{2} + 100 \left(\operatorname{im}{\left(i_{7}\right)}\right)^{2}}$$
x1 = 3*(11 - 10*re(i7))*(10*re(i7) + 7)/((10*re(i7) + 7)^2 + 100*im(i7)^2) + i*(-30*(11 - 10*re(i7))*im(i7)/((10*re(i7) + 7)^2 + 100*im(i7)^2) - 30*(10*re(i7) + 7)*im(i7)/((10*re(i7) + 7)^2 + 100*im(i7)^2)) - 300*im(i7)^2/((10*re(i7) + 7)^2 + 100*im(i7)^2)