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Just to be sure ... Are you trying to solve the following: \[-16t^2 + 90t = 0\] ???
I'm not sure where that 116 is coming from...
If you use quadratic formula \[t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \frac{-90 \pm \sqrt{(90)^2 - 4(-16)(0)}}{2(-16)} = \frac{-90 \pm \sqrt{(90)^2}}{-32} = \frac{-90 \pm 90}{-32} \] So: \[\frac{-90 + 90}{-32} = \frac{0}{-32} = 0\] and \[\frac{-90 - 90}{-32} = \frac{-180}{-32} = 5.625\]
sorry, that ran right off the page... \[t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \frac{-90 \pm \sqrt{(90)^2 - 4(-16)(0)}}{2(-16)} = \frac{-90 \pm \sqrt{(90)^2}}{-32}\] \[= \frac{-90 \pm 90}{-32}\]
ok, cool. Still not sure about that 116... hope you know :)
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