16Hit1600
Advanced MathEasy–MediumOne solution of a factorable quadratic

Advanced Math practice question

The equation x² + 3x − 10 = 0 has two solutions. Which of the following is one of them?

  1. A. 2Correct
  2. B. 5
  3. C. −2
  4. D. 10

Answer: A. 2

Factor: x² + 3x − 10 = (x + 5)(x − 2), so the solutions are x = −5 and x = 2. Check: 4 + 6 − 10 = 0.

Why the other answers are wrong

B. 5
5 gives 25 + 15 − 10 = 30, not 0. The solutions are −5 and 2; the signs matter.
C. −2
−2 gives 4 − 6 − 10 = −12, not 0.
D. 10
10 is the constant term, not a solution: 100 + 30 − 10 = 120.

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