What is the solution of the equation?
\[ -10 + \sqrt{x + 8} = -4 \]
Answer (2)
D : x + 8 ≥ 0 → x ≥ − 8 − 10 + x + 8 = − 4 / + 10 x + 8 = − 4 + 10 x + 8 = 6 ⟺ x + 8 = 36 x = 36 − 8 x = 28 ∈ D
To solve the equation − 10 + x + 8 = − 4 , we isolate the square root, square both sides, and solve for x, resulting in x = 28 . This solution is verified by substituting it back into the original equation.
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