8s^2-80s+168=0

Solution for 8s^2-80s+168=0 equation:

8s^2-80s+168=0

a = 8; b = -80; c = +168;
Δ = b2-4ac
Δ = -802-4·8·168
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-32}{2*8}=\frac{48}{16}
=3
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+32}{2*8}=\frac{112}{16}
=7
$