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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Which value of kk makes x2+4kx+4=0x^2 + 4kx + 4 = 0 have exactly one solution?

  • A

    k=±1k = \pm 1

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  • B

    k=0k = 0

  • C

    k=1k = 1

  • D

    k=±2k = \pm 2

Explanation

D=16k2−16=0D = 16k^2 - 16 = 0, k2=1k^2 = 1, k=±1k = \pm 1.

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