# SAT Math Multiple Choice Question 934: Answer and Explanation

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**Question: 934**

**2.** For what values of *x* is the equation 2*x*^{2} = 4*x* + 3 true?

- A.
- B.
- C.
- D.

**Correct Answer:** A

**Explanation:**

**A**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Quadratics

**Strategic Advice:** Take a peek at the answer choices-they contain radicals, so your best bet is using the quadratic formula to solve the equation.

**Getting to the Answer:** First, write the equation in the form *ax*^{2} + *bx* + *c* = 0:

Next, jot down the values that you'll need: *a* = 2, *b* = -4, and *c* = -3. Then, substitute these values into the quadratic formula and simplify:

This isn't one of the answer choices, so you'll need to simplify the radical:

The correct answer is (A).