Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve 2x2+5x+1=02x^2 + 5x + 1 = 0.

  • A

    x=5±334x = \frac{-5 \pm \sqrt{33}}{4}

  • B

    x=5±174x = \frac{-5 \pm \sqrt{17}}{4}

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  • C

    x=5±172x = \frac{-5 \pm \sqrt{17}}{2}

  • D

    x=5±174x = \frac{5 \pm \sqrt{17}}{4}

Explanation

x=5±2584=5±174x = \frac{-5 \pm \sqrt{25-8}}{4} = \frac{-5 \pm \sqrt{17}}{4}.

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