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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve x2+6x=7x^2 + 6x = 7 by completing the square.

  • A

    x=−1,7x = -1, 7

  • B

    x=1,−7x = 1, -7

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  • C

    x=−1,−7x = -1, -7

  • D

    x=1,7x = 1, 7

Explanation

x2+6x+9=16x^2 + 6x + 9 = 16, (x+3)2=16(x+3)^2 = 16, x+3=±4x + 3 = \pm 4, x=1x = 1 or −7-7.

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