Question

the root of the equation | x^2-x-6 | = x+2 are

Answer 1

mod is there so we will get 2 equations
x^2-x-6=x+2 and x^2-x-6=-x-2
Solving first equation
x^2-2x-8=0
x^2-4x+2x-8=0
(x+2)(x-4)=0
x=-2
x=4

Similarly solve equation 2
we get x= 2
x=-2