Question

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

Answer 1

HEY MATE!!!!

=>x²-x-6=x+2
=>x²-x-6-x-2=0
=>x²-2x-4=0
Method:-- completing the square

=>x²-2x=4
=>x²-2x+(1)²=4+(1)²
=>(x-1)²=5
=>x=1±root 5

Answer 2

=>x²-x-6=x+2

=>x²-x-6-x-2=0

=>x²-2x-4=0

Method:-- completing the square

=>x²-2x=4

=>x²-2x+(1)²=4+(1)²

=>(x-1)²=5

=>x=1±root 5