SAT Math Practice Question #2369 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2369

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

If $x + \frac{1}{x} = 5$, what is the value of $x^2 + \frac{1}{x^2}$?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

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Masterclass Solution & Distractor Trap Analysis

Square both sides: $(x + 1/x)^2 = x^2 + 2(x)(1/x) + 1/x^2 = x^2 + 2 + 1/x^2 = 25 \implies x^2 + 1/x^2 = 23$....

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

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