Question

Fine the nature of the roots of the quadratic equation (x-√2)² - 2(x+1)=0

Answer 1

if we simplify further we get x2- x(2root2 - 2) =0

nature of roots determinied by discriminant which is equal to b2-4ac

(2 root2 - 2)^2 - 4 (1) (0) = 12-11.3 >0

so roots are real and different