Question

Find the discriminant and determine the real natural roots 2x^2-4x+2=0

Answer 1

2(x-1)(x-1)=2(x^2 -2x +1) =2x^2 -4x +2
x_1 =x_2 = 1

Answer 2

Discriminant is b^2-4ac for ax^2 +bx +c so

-4^2 - 4*2*2 = 0

Zero discriminant means repeated roots (of 1, in this case).