3

Set 3: Quadratic Equations (Intermediate)

Explanation

Answer: A

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

A.

3

✓ Correct
B.

-3

C.

7

D.

-50

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is 3

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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