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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve 4x2+4x+1=04x^2 + 4x + 1 = 0.

  • A

    x=1/2x = 1/2 only

  • B

    x=−1,1x = -1, 1

  • C

    x=±1/2x = \pm 1/2

  • D

    x=−1/2x = -1/2 only

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Explanation

(2x+1)2=0(2x+1)^2 = 0, x=−1/2x = -1/2 (double root).

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