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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The equation x2+bx+9=0x^2 + bx + 9 = 0 has a double root. What is bb?

  • A

    b=6b = 6 only

  • B

    b=±3b = \pm 3

  • C

    b=±6b = \pm 6

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  • D

    b=9b = 9

Explanation

Discriminant =0= 0: b2−36=0b^2 - 36 = 0, b=±6b = \pm 6.

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