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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve x2+6x+7=0x^2 + 6x + 7 = 0.

  • A

    x=−3±7x = -3 \pm \sqrt{7}

  • B

    x=−6±2x = -6 \pm \sqrt{2}

  • C

    x=−3±2x = -3 \pm \sqrt{2}

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  • D

    x=3±2x = 3 \pm \sqrt{2}

Explanation

x=−6±36−282=−6±222=−3±2x = \frac{-6 \pm \sqrt{36-28}}{2} = \frac{-6 \pm 2\sqrt{2}}{2} = -3 \pm \sqrt{2}.

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