Digital PSAT Math Practice Question 237: Answer and Explanation

Question: 237

What are the solution(s) to the following equation?

5x² - 15x + 10 = 0

• A. 0
• B. 1, 2
• C. 1, 4
• D. 2, 5

Correct Answer: B

Explanation:

(B) First, factor a 5 out:

5(x² - 3x + 2) = 0. Dividing both sides by 5 leaves you with x² - 3x + 2 = 0. This can be factored as (x - 2)(x - 1) = 0. Set each factor to 0 to solve for possible x values: x - 2 = 0, so x = 2 or x - 1 = 0, so x = 1. Therefore, the answer is (B). Alternatively, you could have used the quadratic formula to solve for possible x values.