Question

Find the value of a and b so that x^2+4x^3-2x^2-20x-15

Answer 1

x4−4x3+8x2−8x+4=0x4−4x3+8x2−8x+4=0

(x4+4x2+4)−4x3+4x2−8x=0(x4+4x2+4)−4x3+4x2−8x=0

(x4+4x2+4)−4x(x2+2)+4x2=0(x4+4x2+4)−4x(x2+2)+4x2=0

(x2+2)2−4x(x2+2)+4x2=0(x2+2)2−4x(x2+2)+4x2=0

((x2+2)−2x)2=0((x2+2)−2x)2=0

(x2−2x+2)2=0(x2−2x+2)2=0

((x−1)2+1)2=0((x−1)2+1)2=0

(((x−1)−i)((x−1)+i))2=0(((x−1)−i)((x−1)+i))2=0

(x−(1+i))2(x−(1−i))2=0(x−(1+i))2(x−(1−i))2=0

x=1+i,1−i