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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

For what value of kk does x2+kx+16=0x^2 + kx + 16 = 0 have exactly one real solution?

  • A

    k=±8k = \pm 8

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  • B

    k=±16k = \pm 16

  • C

    k=4k = 4 only

  • D

    k=8k = 8 only

Explanation

One real solution when b2−4ac=0b^2 - 4ac = 0: k2−64=0k^2 - 64 = 0, k=±8k = \pm 8.

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SAT Math · Nonlinear Equations in One Variable and Systems of Equations Practice Question | Acemy