72y^2=8

Solution for 72y^2=8 equation:

72y^2=8

We move all terms to the left:

72y^2-(8)=0

a = 72; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·72·(-8)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*72}=\frac{-48}{144}
=-1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*72}=\frac{48}{144}
=1/3
$