+0  
 
0
95
2
avatar

How many solutions does the equation $|x+2| = 2x$ have?

 Feb 23, 2020
 #1
avatar
0

Square both sides: (x + 2)^2 = 4x^2 => x^2 + 4x + 4 = 4x^2 => 3x^2 - 4x - 4 = (3x + 2)(x - 2) = 0.  Solutions are x = -3/2, x = 2.

 Feb 23, 2020
 #2
avatar+24889 
+1

x +2 = 2x     and    x+2 = -2x

2= x             and    2= -3x       x = -2/3

 Feb 23, 2020

18 Online Users

avatar