SAT Math Practice Question #2278 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2278

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Find all real solutions to $x^4 - 5x^2 + 4 = 0$.
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Masterclass Solution & Distractor Trap Analysis

Let $u = x^2$: $u^2 - 5u + 4 = 0 \implies (u - 1)(u - 4) = 0$. So $x^2 = 1 \implies x = \pm 1$, and $x^2 = 4 \implies x = \pm 2$....

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

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