4
advanced-math

If the product of roots is -10 and one root is 5, what is the sum of the roots?

A

3

B

-3

C

7

D

-50

Correct Answer: A

Choice A is the correct answer.

  1. Product = r1×r2=−10r_1 \times r_2 = -10.
  2. Given r1=5r_1 = 5, so 5×r2=−10⇒r2=−25 \times r_2 = -10 \Rightarrow r_2 = -2.
  3. Sum = r1+r2=5+(−2)=3r_1 + r_2 = 5 + (-2) = 3.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 15: Quadratic Equations and Functions 15