0=3h2-11h-90

Solution for 0=3h2-11h-90 equation:

0=3h^2-11h-90

We move all terms to the left:

0-(3h^2-11h-90)=0

We add all the numbers together, and all the variables

-(3h^2-11h-90)=0

We get rid of parentheses

-3h^2+11h+90=0

a = -3; b = 11; c = +90;
Δ = b2-4ac
Δ = 112-4·(-3)·90
Δ = 1201
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{-(11)-\sqrt{1201}}{2*-3}=\frac{-11-\sqrt{1201}}{-6}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{1201}}{2*-3}=\frac{-11+\sqrt{1201}}{-6}
$