Answer
False
Work Step by Step
Solving $x^{2}=4$:
Step 1: $\sqrt (x^{2})=\sqrt 4$
Step 2: Using square root property, $x=\pm\sqrt 4$
Step 3: $x=\pm2$
Solving $x+2=4$:
Step 1: $x+2=4$
Step 2: Subtracting 2 from both sides, $x+2-2=4-2$
Step 3: $x=2$
Since the solutions of the two equations are not equal, the two equations are not equivalent.
