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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Solve for xx: x4−9x2=0x^4 - 9x^2 = 0

  • A

    x=0,3x = 0, 3

  • B

    x=0,9x = 0, 9

  • C

    x=0,3,−3x = 0, 3, -3

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  • D

    x=3,−3x = 3, -3

Explanation

Factor: x2(x2−9)=x2(x−3)(x+3)=0x^2(x^2 - 9) = x^2(x-3)(x+3) = 0. Solutions: 0,3,−30, 3, -3.

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