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15 October, 22:39

B (t) = 80t-16t^2+3.5 solve for t

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  1. 15 October, 23:01
    0
    t = 5/2 + (3 sqrt (23/2)) / 4 or t = 5/2 - (3 sqrt (23/2)) / 4

    Step-by-step explanation:

    Solve for t:

    -16 t^2 + 80 t + 3.5 = 0

    -16 t^2 + 80 t + 3.5 = - 16 t^2 + 80 t + 7/2:

    -16 t^2 + 80 t + 7/2 = 0

    Divide both sides by - 16:

    t^2 - 5 t - 7/32 = 0

    Add 7/32 to both sides:

    t^2 - 5 t = 7/32

    Add 25/4 to both sides:

    t^2 - 5 t + 25/4 = 207/32

    Write the left hand side as a square:

    (t - 5/2) ^2 = 207/32

    Take the square root of both sides:

    t - 5/2 = (3 sqrt (23/2)) / 4 or t - 5/2 = - (3 sqrt (23/2)) / 4

    Add 5/2 to both sides:

    t = 5/2 + (3 sqrt (23/2)) / 4 or t - 5/2 = - (3 sqrt (23/2)) / 4

    Add 5/2 to both sides:

    Answer: t = 5/2 + (3 sqrt (23/2)) / 4 or t = 5/2 - (3 sqrt (23/2)) / 4
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