32n2-162=0

Solution for 32n2-162=0 equation:

32n^2-162=0

a = 32; b = 0; c = -162;
Δ = b2-4ac
Δ = 02-4·32·(-162)
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*32}=\frac{-144}{64}
=-2+1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*32}=\frac{144}{64}
=2+1/4
$