h2+22.4h=1837

Solution for h2+22.4h=1837 equation:

h2+22.4h=1837

We move all terms to the left:

h2+22.4h-(1837)=0

We add all the numbers together, and all the variables

h^2+22.4h-1837=0

a = 1; b = 22.4; c = -1837;
Δ = b2-4ac
Δ = 22.42-4·1·(-1837)
Δ = 7849.76
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{-(22.4)-\sqrt{7849.76}}{2*1}=\frac{-22.4-\sqrt{7849.76}}{2}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22.4)+\sqrt{7849.76}}{2*1}=\frac{-22.4+\sqrt{7849.76}}{2}
$