Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Which equation has two distinct rational roots?

  • A

    x25x+6=0x^2 - 5x + 6 = 0

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  • B

    x2+2x+1=0x^2 + 2x + 1 = 0

  • C

    x2+x+1=0x^2 + x + 1 = 0

  • D

    x22x1=0x^2 - 2x - 1 = 0

Explanation

x25x+6=0x^2 - 5x + 6 = 0 factors as (x2)(x3)=0(x-2)(x-3)=0: two distinct rational roots.

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