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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Use the quadratic formula to solve 2x2+3x−2=02x^2 + 3x - 2 = 0.

  • A

    x=2,−1x = 2, -1

  • B

    x=−1/2,2x = -1/2, 2

  • C

    x=1/2,−2x = 1/2, -2

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  • D

    x=1,−2x = 1, -2

Explanation

x=−3±9+164=−3±54x = \frac{-3 \pm \sqrt{9 + 16}}{4} = \frac{-3 \pm 5}{4}, giving x=1/2x = 1/2 or x=−2x = -2.

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