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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Solve x2−4x+1=0x^2 - 4x + 1 = 0.

  • A

    x=−2±3x = -2 \pm \sqrt{3}

  • B

    x=2±3x = 2 \pm \sqrt{3}

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  • C

    x=2±5x = 2 \pm \sqrt{5}

  • D

    x=4±3x = 4 \pm \sqrt{3}

Explanation

x=4±16−42=4±232=2±3x = \frac{4 \pm \sqrt{16-4}}{2} = \frac{4 \pm 2\sqrt{3}}{2} = 2 \pm \sqrt{3}.

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