225n2=1

Solution for 225n2=1 equation:

225n^2=1

We move all terms to the left:

225n^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:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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