8x^2-264x+720=0

Solution for 8x^2-264x+720=0 equation:

8x^2-264x+720=0

a = 8; b = -264; c = +720;
Δ = b2-4ac
Δ = -2642-4·8·720
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-264)-216}{2*8}=\frac{48}{16}
=3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-264)+216}{2*8}=\frac{480}{16}
=30
$