H=-11t^2+330t

Solution for H=-11t^2+330t equation:

=-11H^2+330H

We move all terms to the left:

-(-11H^2+330H)=0

We get rid of parentheses

11H^2-330H=0

a = 11; b = -330; c = 0;
Δ = b2-4ac
Δ = -3302-4·11·0
Δ = 108900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{108900}=330$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-330)-330}{2*11}=\frac{0}{22}
=0
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-330)+330}{2*11}=\frac{660}{22}
=30
$