H=-16t^2+184t

Solution for H=-16t^2+184t equation:

=-16H^2+184H

We move all terms to the left:

-(-16H^2+184H)=0

We get rid of parentheses

16H^2-184H=0

a = 16; b = -184; c = 0;
Δ = b2-4ac
Δ = -1842-4·16·0
Δ = 33856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33856}=184$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-184)-184}{2*16}=\frac{0}{32}
=0
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-184)+184}{2*16}=\frac{368}{32}
=11+1/2
$