h^2+22.4h=1837^

Solution for h^2+22.4h=1837^ equation:

h^2+22.4h=1837^

We move all terms to the left:

h^2+22.4h-(1837^)=0

We add all the numbers together, and all the variables

h^2+22.4h=0

a = 1; b = 22.4; c = 0;
Δ = b2-4ac
Δ = 22.42-4·1·0
Δ = 501.76
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{501.76}}{2*1}=\frac{-22.4-\sqrt{501.76}}{2}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22.4)+\sqrt{501.76}}{2*1}=\frac{-22.4+\sqrt{501.76}}{2}
$