Joe is fascinated by complex numbers and the fact that even

Joe is fascinated by complex numbers and the fact that even if a quadratic equation has no real solution, it will always have a complex solution. Joe has discovered a quadratic equation with unreal solutions. List the non real solutions of the equation below: 2 x squared minus 4 x plus 4

Solution

2 x squared minus 4 x plus 4:

2x^2 - 4x +4 =0

use quadratic formula : x= ( 4 +/- sqrt(16 -32) )/4 = (4 +/- sqrt(-16) )/4

= 1 +/- sqrt(-1)

x = 1 +/ - i

x = 1+i , 1-i