SAT Math Multiple Choice Question 588: Answer and Explanation

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Test Information

Question: 588

3. Which of the following are solutions to the quadratic equation (x + 3)2 = 16?

  • A. x = –19 and x = 13
  • B. x = –7 and x = 1
  • C. x = –1 and x = 1
  • D. x = –1 and x = 7

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Passport to Advanced Math / Quadratics

Strategic Advice: Notice the structure of the equation. The expression on the left side of the equation is the square of a quantity, so start by taking the square root of both sides.

Getting to the Answer: After taking the square roots, solve the resulting equations. Remember, 42 = 16 and (–4)2 = 16, so there will be two equations to solve.

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