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- La ecuación:
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Ecuación 2x^2=50
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Ecuación 2x^2-4x=0
- Ecuación -(4)/((x-1)^3)+2/(x-1)-4x/((x-1)^2)+2(x^2)+2x^2/((x-1)^3)=0
- Ecuación (x-a)(x-b)(x-c)(x-d)=0
- Expresar {x} en función de y en la ecuación:
- -10*x-15*y=9
- 9*x-8*y=6
- 2*x-5*y=-5
- 20*x-10*y=-13
- Forma canónica:
- (x-a)(x-b)(x-c)(x-d)
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Expresiones idénticas
- (x-a)(x-b)(x-c)(x-d)= cero
- (x menos a)(x menos b)(x menos c)(x menos d) es igual a 0
- (x menos a)(x menos b)(x menos c)(x menos d) es igual a cero
- x-ax-bx-cx-d=0
- (x-a)(x-b)(x-c)(x-d)=O
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Expresiones semejantes
- (x-a)(x-b)(x-c)(x+d)=0
- (x-a)(x+b)(x-c)(x-d)=0
- (x+a)(x-b)(x-c)(x-d)=0
- (x-a)(x-b)(x+c)(x-d)=0
(x-a)(x-b)(x-c)(x-d)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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(x - a)*(x - b)*(x - c)*(x - d) = 0
$$\left(- a + x\right) \left(- b + x\right) \left(- c + x\right) \left(- d + x\right) = 0$$
Gráfica
Respuesta rápida
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x1 = I*im(a) + re(a)
$$x_{1} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}$$
x2 = I*im(b) + re(b)
$$x_{2} = \operatorname{re}{\left(b\right)} + i \operatorname{im}{\left(b\right)}$$
x3 = I*im(c) + re(c)
$$x_{3} = \operatorname{re}{\left(c\right)} + i \operatorname{im}{\left(c\right)}$$
x4 = I*im(d) + re(d)
$$x_{4} = \operatorname{re}{\left(d\right)} + i \operatorname{im}{\left(d\right)}$$
x4 = re(d) + i*im(d)
Suma y producto de raíces
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suma
I*im(a) + re(a) + I*im(b) + re(b) + I*im(c) + re(c) + I*im(d) + re(d)
$$\left(\left(\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}\right) + \left(\operatorname{re}{\left(b\right)} + i \operatorname{im}{\left(b\right)}\right)\right) + \left(\operatorname{re}{\left(c\right)} + i \operatorname{im}{\left(c\right)}\right)\right) + \left(\operatorname{re}{\left(d\right)} + i \operatorname{im}{\left(d\right)}\right)$$
=
I*im(a) + I*im(b) + I*im(c) + I*im(d) + re(a) + re(b) + re(c) + re(d)
$$\operatorname{re}{\left(a\right)} + \operatorname{re}{\left(b\right)} + \operatorname{re}{\left(c\right)} + \operatorname{re}{\left(d\right)} + i \operatorname{im}{\left(a\right)} + i \operatorname{im}{\left(b\right)} + i \operatorname{im}{\left(c\right)} + i \operatorname{im}{\left(d\right)}$$
producto
(I*im(a) + re(a))*(I*im(b) + re(b))*(I*im(c) + re(c))*(I*im(d) + re(d))
$$\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}\right) \left(\operatorname{re}{\left(b\right)} + i \operatorname{im}{\left(b\right)}\right) \left(\operatorname{re}{\left(c\right)} + i \operatorname{im}{\left(c\right)}\right) \left(\operatorname{re}{\left(d\right)} + i \operatorname{im}{\left(d\right)}\right)$$
=
(I*im(a) + re(a))*(I*im(b) + re(b))*(I*im(c) + re(c))*(I*im(d) + re(d))
$$\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}\right) \left(\operatorname{re}{\left(b\right)} + i \operatorname{im}{\left(b\right)}\right) \left(\operatorname{re}{\left(c\right)} + i \operatorname{im}{\left(c\right)}\right) \left(\operatorname{re}{\left(d\right)} + i \operatorname{im}{\left(d\right)}\right)$$
(i*im(a) + re(a))*(i*im(b) + re(b))*(i*im(c) + re(c))*(i*im(d) + re(d))