5h^2+4h-9=0

Solution for 5h^2+4h-9=0 equation:

5h^2+4h-9=0

a = 5; b = 4; c = -9;
Δ = b2-4ac
Δ = 42-4·5·(-9)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-14}{2*5}=\frac{-18}{10}
=-1+4/5
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+14}{2*5}=\frac{10}{10}
=1
$