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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Solve x2+2x−5=0x^2 + 2x - 5 = 0.

  • A

    x=−2±6x = -2 \pm \sqrt{6}

  • B

    x=−1±6x = -1 \pm \sqrt{6}

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  • C

    x=−1±5x = -1 \pm \sqrt{5}

  • D

    x=1±6x = 1 \pm \sqrt{6}

Explanation

x=−2±4+202=−2±262=−1±6x = \frac{-2 \pm \sqrt{4+20}}{2} = \frac{-2 \pm 2\sqrt{6}}{2} = -1 \pm \sqrt{6}.

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