36n^2=144

Solution for 36n^2=144 equation:

36n^2=144

We move all terms to the left:

36n^2-(144)=0

a = 36; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·36·(-144)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*36}=\frac{-144}{72}
=-2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*36}=\frac{144}{72}
=2
$