What is the sum of the solutions of x² − 7x + 12 = 0?

A 7

B 12

C −7

D 3

✓ Correct Answer: Option A

By Vieta's formulas, the sum of solutions equals −(−7)/1 = 7. Or factor: (x−3)(x−4) = 0, so 3 + 4 = 7.

💡 Why is A) the correct answer?

The correct answer to the question "What is the sum of the solutions of x² − 7x + 12 = 0?" is Option A: 7.

The other options — B) 12, C) −7, D) 3 — are incorrect for this SAT Exam Prep question. As explained above: By Vieta's formulas, the sum of solutions equals −(−7)/1 = 7. Or factor: (x−3)(x−4) = 0, so 3 + 4 = 7.

📚 About This SAT Exam Prep Practice Question

This 2-level SAT Exam Prep question from the Math (No Calculator) topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free SAT Exam Prep practice test or use flashcards for spaced repetition review.

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What is the sum of the solutions of x² − 7x + 12 = 0?

✓ Correct Answer: Option A

📚 About This SAT Exam Prep Practice Question

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