what is the solution of $sqrt{x + 2}-15=-3$?\n$x = 142$\n$x = 232$\n$x = 322$\nno solution

Explanation:

Step1: Isolate the square - root term

Add 15 to both sides of the equation $\sqrt{x + 2}-15=-3$. $\sqrt{x + 2}=-3 + 15$ $\sqrt{x+2}=12$

Step2: Eliminate the square - root

Square both sides of the equation. $(\sqrt{x + 2})^2=12^2$ $x+2 = 144$

Step3: Solve for x

Subtract 2 from both sides. $x=144 - 2$ $x = 142$

Answer:

$x = 142$