100-225b^2=0

Solution for 100-225b^2=0 equation:

100-225b^2=0

a = -225; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-225)·100
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300}{2*-225}=\frac{-300}{-450}
=2/3
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300}{2*-225}=\frac{300}{-450}
=-2/3
$