ACT Math Practice Question #1415 (Medium (32)) | Test Citadel
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ACT Math Difficulty: Medium (32)

Digital ACT Math Practice Question #1415

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

What is the real solution to the equation sqrt(2x + 15) - x = 0?
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Radical equals x, so x must be >= 0! Only x = 5 is valid.

Masterclass Solution & Distractor Trap Analysis

Sqrt(2x + 15) = x -> 2x + 15 = x^2 -> x^2 - 2x - 15 = 0 -> (x-5)(x+3)=0. Since sqrt must be >= 0, x = -3 is extraneous. x = 5....

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

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