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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Solve for xx: x2−6x+9=0x^2 - 6x + 9 = 0

  • A

    x=−3x = -3 (double root)

  • B

    x=0,3x = 0, 3

  • C

    x=3x = 3 (double root)

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  • D

    x=3,−3x = 3, -3

Explanation

x2−6x+9=(x−3)2=0x^2 - 6x + 9 = (x - 3)^2 = 0, so x=3x = 3 with multiplicity 2.

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