Question

Dado las raices -1 +4i ; -1-4i , su ecuacion es :

Answer 1

Respuesta:

La ecuación es: X^2 + 2X+ 17 = 0

Explicación paso a paso:

b/ a = - ( x1 +x2) = - [ ( -1 +4i ) + ( -1 -4i ) ] = - [ -1 + 4i -1 -4i ] = - [ -2] = 2

b/ a = 2

c/a = x1. x2 = [ ( -1 +4i ). ( -1 -4i ) ] = [ (-1 )^2 - (4i)^2 ] = 1 - ( -16 ) ] = [ 1 + 16 ] = 17

c/a = 17

X^2 + b/a X + c/a = 0

X^2 + 2X+ 17 = 0

La ecuación es:  X^2 + 2X+ 17 = 0