Question

Solve. (x + 4)^2 = 4

x = 0 and x = –4

x = –2 and x = –6

x = 20 and x = 12

x = 0 and x = 4

Answer 1

x=-2 , -6

Answer 2

(x+4)^2=4
=>x^2+8x+16=4
[since, (a+b)^2=a^2+b^2+2ab, by formula]
=>x^2+8x+16-4=0
By factorising
=>x^2+8x+12=0
=>(x+2)(x+6)=0
=>x+2=0|x+6=0
=>x=-2|x=-6
Ans:x=-2,-6