# SAT Math Multiple Choice Question 946: Answer and Explanation

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**Question: 946**

**14.** Which of the following is a solution to the equation? (Note:)

- A. -10
- B.
- C. 10
*i* - D.

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Medium

**Category:** Additional Topics in Math / Imaginary Numbers

**Strategic Advice:** Plugging each choice into the equation will take far too long. Instead, factor the trinomial to find the solutions. Because this question does not allow the use of a calculator, look for ways to simplify the equation first, and then try obvious factors.

**Getting to the Answer:** Set the equation equal to 0, and then factor 4*x* out of the trinomial to get. Factoring the new trinomial inside the parentheses (by finding the two factors of -90 that add up to +1) gives. Set each factor equal to 0 and solve for *x*:

The solutions are. (B)is the only choice that contains one of the solutions.