SAT Math Practice Question #1635 (Medium (610)) | Test Citadel
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SAT Math Difficulty: Medium (610)

Digital SAT Math Practice Question #1635

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For what value of \(c\) does the quadratic equation \(2x^2 - 8x + c = 0\) have exactly one distinct real solution?
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b^2 - 4ac = 0 -> 64 - 8c = 0 -> c = 8.

Masterclass Solution & Distractor Trap Analysis

A quadratic equation has exactly one real solution when its discriminant equals zero: \(b^2 - 4ac = 0\). Here \(a = 2, b = -8\), so \((-8)^2 - 4(2)(c) = 0 \implies 64 - 8c = 0 \implies 8c = 64 \implies c = 8\)....

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

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