solve for x. (x+2)^2=16

2 answers

x+2 = + or - 4
x+2 = 4
x = 2
or
x+2 = -4
x = -6
(x+2)^2=16 (x+2)(x+2)=16 x^2+4x-12=16(by expansion).since the equation obtained is a quadratic equation,then factorise the following to obtain x^2+6x-2x-12=0 x(x+6)-2(x+6)=0 x=-6 or x=2