288n^2-392=0

Solution for 288n^2-392=0 equation:

288n^2-392=0

a = 288; b = 0; c = -392;
Δ = b2-4ac
Δ = 02-4·288·(-392)
Δ = 451584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{451584}=672$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-672}{2*288}=\frac{-672}{576}
=-1+1/6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+672}{2*288}=\frac{672}{576}
=1+1/6
$