8x^2-72x+112=0

Solution for 8x^2-72x+112=0 equation:

8x^2-72x+112=0

a = 8; b = -72; c = +112;
Δ = b2-4ac
Δ = -722-4·8·112
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-40}{2*8}=\frac{32}{16}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+40}{2*8}=\frac{112}{16}
=7
$