36n^2=64

Solution for 36n^2=64 equation:

36n^2=64

We move all terms to the left:

36n^2-(64)=0

a = 36; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·36·(-64)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*36}=\frac{-96}{72}
=-1+1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*36}=\frac{96}{72}
=1+1/3
$