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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Solve 6x2−5x−6=06x^2 - 5x - 6 = 0.

  • A

    x=−3/2,2/3x = -3/2, 2/3

  • B

    x=−2/3,−3/2x = -2/3, -3/2

  • C

    x=3/2,−2/3x = 3/2, -2/3

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  • D

    x=2/3,3/2x = 2/3, 3/2

Explanation

(2x−3)(3x+2)=0(2x-3)(3x+2) = 0, so x=3/2x = 3/2 or x=−2/3x = -2/3.

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