8y2=69

Solution for 8y2=69 equation:

8y^2=69

We move all terms to the left:

8y^2-(69)=0

a = 8; b = 0; c = -69;
Δ = b2-4ac
Δ = 02-4·8·(-69)
Δ = 2208
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2208}=\sqrt{16*138}=\sqrt{16}*\sqrt{138}=4\sqrt{138}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{138}}{2*8}=\frac{0-4\sqrt{138}}{16}
=-\frac{4\sqrt{138}}{16}
=-\frac{\sqrt{138}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{138}}{2*8}=\frac{0+4\sqrt{138}}{16}
=\frac{4\sqrt{138}}{16}
=\frac{\sqrt{138}}{4}
$