2n^2=165888

Solution for 2n^2=165888 equation:

2n^2=165888

We move all terms to the left:

2n^2-(165888)=0

a = 2; b = 0; c = -165888;
Δ = b2-4ac
Δ = 02-4·2·(-165888)
Δ = 1327104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1327104}=1152$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1152}{2*2}=\frac{-1152}{4}
=-288
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1152}{2*2}=\frac{1152}{4}
=288
$