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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve (x−1)2=12(x-1)^2 = 12.

  • A

    x=−1±23x = -1 \pm 2\sqrt{3}

  • B

    x=1±23x = 1 \pm 2\sqrt{3}

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  • C

    x=1+23x = 1 + 2\sqrt{3}

  • D

    x=1±12x = 1 \pm \sqrt{12} only

Explanation

x−1=±23x - 1 = \pm 2\sqrt{3}, so x=1±23x = 1 \pm 2\sqrt{3}.

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