Question

What is the solution of StartRoot 2 x + 4 EndRoot = 16?

Answer 1

We start with

$\sqrt{2x+4}=16$

Since both sides of the equality are positive, we can square them to get

$2x+4=256$

Subtract 4 from both sides and then divide both sides by 2:

$2x+4=256 \iff 2x=252\iff x=126$