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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

For what values of kk does x2−4x+k=0x^2 - 4x + k = 0 have two distinct real solutions?

  • A

    k=4k = 4

  • B

    k≤4k \le 4

  • C

    k<4k < 4

    check_circle
  • D

    k>4k > 4

Explanation

Need b2−4ac>0b^2 - 4ac > 0: 16−4k>016 - 4k > 0, so k<4k < 4.

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