SAT Math Practice Question #2305 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2305

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What is the extraneous solution of $\sqrt{x + 2} = x$?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Desmos Hack: Graph the left and right sides of any equation to instantly view intersection points and filter out extraneous solutions.

Masterclass Solution & Distractor Trap Analysis

Square both sides: $x + 2 = x^2 \implies x^2 - x - 2 = 0 \implies (x - 2)(x + 1) = 0$. For $x = -1$, $\sqrt{1} = -1$ (false), so $x = -1$ is the extraneous root....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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