Y=225x^2-1

Solution for Y=225x^2-1 equation:

=225Y^2-1

We move all terms to the left:

-(225Y^2-1)=0

We get rid of parentheses

-225Y^2+1=0

a = -225; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-225)·1
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-225}=\frac{-30}{-450}
=1/15
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-225}=\frac{30}{-450}
=-1/15
$