36n*36n=144

Solution for 36n*36n=144 equation:

36n*36n=144

We move all terms to the left:

36n*36n-(144)=0

Wy multiply elements

1296n^2-144=0

a = 1296; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·1296·(-144)
Δ = 746496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{746496}=864$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-864}{2*1296}=\frac{-864}{2592}
=-1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+864}{2*1296}=\frac{864}{2592}
=1/3
$