24h^2+64=88h

Solution for 24h^2+64=88h equation:

24h^2+64=88h

We move all terms to the left:

24h^2+64-(88h)=0

a = 24; b = -88; c = +64;
Δ = b2-4ac
Δ = -882-4·24·64
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-40}{2*24}=\frac{48}{48}
=1
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+40}{2*24}=\frac{128}{48}
=2+2/3
$