100x2-225=0

Solution for 100x2-225=0 equation:

100x^2-225=0

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

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300}{2*100}=\frac{-300}{200}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300}{2*100}=\frac{300}{200}
=1+1/2
$