36n^2=100

Solution for 36n^2=100 equation:

36n^2=100

We move all terms to the left:

36n^2-(100)=0

a = 36; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·36·(-100)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*36}=\frac{-120}{72}
=-1+2/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*36}=\frac{120}{72}
=1+2/3
$