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Baron Trevino
Mathematics
15 October, 22:39
B (t) = 80t-16t^2+3.5 solve for t
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Francis Floyd
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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