H=-16t^2-16t+0.6

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Solution for H=-16t^2-16t+0.6 equation:



=-16H^2-16H+0.6
We move all terms to the left:
-(-16H^2-16H+0.6)=0
We get rid of parentheses
16H^2+16H-0.6=0
a = 16; b = 16; c = -0.6;
Δ = b2-4ac
Δ = 162-4·16·(-0.6)
Δ = 294.4
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{-(16)-\sqrt{294.4}}{2*16}=\frac{-16-\sqrt{294.4}}{32} $
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+\sqrt{294.4}}{2*16}=\frac{-16+\sqrt{294.4}}{32} $

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