216a^2-793a+216=0

Solution for 216a^2-793a+216=0 equation:

216a^2-793a+216=0

a = 216; b = -793; c = +216;
Δ = b2-4ac
Δ = -7932-4·216·216
Δ = 442225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{442225}=665$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-793)-665}{2*216}=\frac{128}{432}
=8/27
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-793)+665}{2*216}=\frac{1458}{432}
=3+3/8
$