8s*s=560

Solution for 8s*s=560 equation:

8s*s=560

We move all terms to the left:

8s*s-(560)=0

Wy multiply elements

8s^2-560=0

a = 8; b = 0; c = -560;
Δ = b2-4ac
Δ = 02-4·8·(-560)
Δ = 17920
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{17920}=\sqrt{256*70}=\sqrt{256}*\sqrt{70}=16\sqrt{70}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{70}}{2*8}=\frac{0-16\sqrt{70}}{16}
=-\frac{16\sqrt{70}}{16}
=-\sqrt{70}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{70}}{2*8}=\frac{0+16\sqrt{70}}{16}
=\frac{16\sqrt{70}}{16}
=\sqrt{70}
$