MATH

Find the values of b such that the function has the given maximum value.
f(x) = −x^2 + bx − 14; Maximum value: 107

(smaller value): b=
(larger value): b=

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  1. just solve
    -14 - b^2/-4 = 107

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    posted by oobleck
  2. Y = -x^2 + Bx - 14.
    x = Xv = -B/- = B/2.

    -(B/2)^2 + B*B/2 - 14 = 107.
    --B^2/4 + B^2/2 - 14 = 107,
    -B^2/4 + 2B^2/4 - 14 = 107,
    B^2/4 = 121,
    B^2 = 484,
    B = 22.

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    posted by henry2,

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