#1**+1 **

|2x +4| = 8 Technique is to always square both sides and solve the quadratic

(2x+4)^2 = 64

4x^2 +16x +16 = 64 divide through by 4

x^2 +4x +4 =16

x^2 +4x - 12= 0

(x+6)(x-2) = 0 so x = -6 and x = 2

2|x| +4 =8 rearrange to get the modulus expression on its own,and,again,square both sides

2|x| = 4 so |x| =2 so x^2 =4 so x= plus or minus 2

Exactly the same method for the last one.Have a try yourself.

Guest Mar 27, 2017