Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Solve (2x+1)2=25(2x+1)^2 = 25.

  • A

    x=2,3x = 2, -3

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  • B

    x=3x = -3 only

  • C

    x=12,13x = 12, -13

  • D

    x=2x = 2 only

Explanation

2x+1=±52x + 1 = \pm 5. So 2x=42x = 4 or 2x=62x = -6: x=2x = 2 or x=3x = -3.

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