12n^2=786432

Solution for 12n^2=786432 equation:

12n^2=786432

We move all terms to the left:

12n^2-(786432)=0

a = 12; b = 0; c = -786432;
Δ = b2-4ac
Δ = 02-4·12·(-786432)
Δ = 37748736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{37748736}=6144$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6144}{2*12}=\frac{-6144}{24}
=-256
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6144}{2*12}=\frac{6144}{24}
=256
$