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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What are the real solutions of x3−4x=0x^3 - 4x = 0?

  • A

    x=2,−2x = 2, -2

  • B

    x=0,2,−2x = 0, 2, -2

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  • C

    x=0,2x = 0, 2

  • D

    x=0,4x = 0, 4

Explanation

Factor: x(x2−4)=x(x−2)(x+2)=0x(x^2 - 4) = x(x-2)(x+2) = 0. Solutions: x=0,2,−2x = 0, 2, -2.

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