Question

select the correct answer.

what is the solution to the equation?
\\\sqrt{x + 3} + 2 = 9\\

• 46
• 52
• 118
• no solution

Explanation:

Isolate the radical term

$$
LATEXBLOCK0
$$

Square both sides to eliminate the radical

$$
LATEXBLOCK1
$$

Solve for x and verify the solution

$$
LATEXBLOCK2
$$

Checking \(x = 46\):

$$ \sqrt{46+3} + 2 = \sqrt{49} + 2 = 7 + 2 = 9 $$

The solution is valid.

Answer:

• (A) 46 (Correct answer)
• (B) 52
• (C) 118
• (D) no solution