7y^2=567

Solution for 7y^2=567 equation:

7y^2=567

We move all terms to the left:

7y^2-(567)=0

a = 7; b = 0; c = -567;
Δ = b2-4ac
Δ = 02-4·7·(-567)
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126}{2*7}=\frac{-126}{14}
=-9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126}{2*7}=\frac{126}{14}
=9
$