y^2/9=121

Solution for y^2/9=121 equation:

y^2/9=121

We move all terms to the left:

y^2/9-(121)=0

We multiply all the terms by the denominator


y^2-121*9=0

We add all the numbers together, and all the variables

y^2-1089=0

a = 1; b = 0; c = -1089;
Δ = b2-4ac
Δ = 02-4·1·(-1089)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66}{2*1}=\frac{-66}{2}
=-33
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66}{2*1}=\frac{66}{2}
=33
$