24h-9h^2=12

Solution for 24h-9h^2=12 equation:

24h-9h^2=12

We move all terms to the left:

24h-9h^2-(12)=0

a = -9; b = 24; c = -12;
Δ = b2-4ac
Δ = 242-4·(-9)·(-12)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-12}{2*-9}=\frac{-36}{-18}
=+2
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+12}{2*-9}=\frac{-12}{-18}
=2/3
$