H(t)=-16t^2+150t+90

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Solution for H(t)=-16t^2+150t+90 equation:



(H)=-16H^2+150H+90
We move all terms to the left:
(H)-(-16H^2+150H+90)=0
We get rid of parentheses
16H^2-150H+H-90=0
We add all the numbers together, and all the variables
16H^2-149H-90=0
a = 16; b = -149; c = -90;
Δ = b2-4ac
Δ = -1492-4·16·(-90)
Δ = 27961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-149)-\sqrt{27961}}{2*16}=\frac{149-\sqrt{27961}}{32} $
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-149)+\sqrt{27961}}{2*16}=\frac{149+\sqrt{27961}}{32} $

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