use quadratic formula to solve 16t2 128t 5 0SolutionDear

use quadratic formula to solve -16t^2 + 128t + 5 = 0

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Given

-16t^2 + 128t + 5 = 0

Now for a general quadratic equation

Ax^2 + Bx + C = 0, roots re given by

x = [ -B + sqrt (B^2 - 4AC) ]/ 2A

For the given equation

A = -16

B = 128

C = 5

t = [-128 + sqrt ( 128^2 + 4*16*5) ]/-32

t = [-128 + 129.244 ]/-32

t = -0.03887, 8.038874

Solution