Question

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.

Answer 1

Hello
x²-2x-8=0
(x²-2x+1)-1-8=0
(x-1)² -3² =0
(x-1+3)(x-1-3)=0
(x+2)(x-4)=0
x+2=0   or x-4=0
x=-2  or x=4
the roots in Z