Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

What are all the real solutions to x25x+6=0x^2 - 5x + 6 = 0?

  • A

    x=2,3x = -2, -3

  • B

    x=2,3x = 2, 3

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  • C

    x=1,6x = -1, -6

  • D

    x=1,6x = 1, 6

Explanation

Factor: x25x+6=(x2)(x3)x^2 - 5x + 6 = (x-2)(x-3). Solutions: x=2,3x = 2, 3.

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