9y2-100=0

Solution for 9y2-100=0 equation:

9y^2-100=0

a = 9; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·9·(-100)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*9}=\frac{-60}{18}
=-3+1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*9}=\frac{60}{18}
=3+1/3
$