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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The discriminant of 4x2+bx+9=04x^2 + bx + 9 = 0 equals zero. What is ∣b∣|b|?

  • A

    3636

  • B

    99

  • C

    66

  • D

    1212

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Explanation

b2−4(4)(9)=0b^2 - 4(4)(9) = 0, b2=144b^2 = 144, ∣b∣=12|b| = 12.

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