18n*18n-50=0

Solution for 18n*18n-50=0 equation:

18n*18n-50=0

Wy multiply elements

324n^2-50=0

a = 324; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·324·(-50)
Δ = 64800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{64800}=\sqrt{32400*2}=\sqrt{32400}*\sqrt{2}=180\sqrt{2}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180\sqrt{2}}{2*324}=\frac{0-180\sqrt{2}}{648}
=-\frac{180\sqrt{2}}{648}
=-\frac{5\sqrt{2}}{18}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180\sqrt{2}}{2*324}=\frac{0+180\sqrt{2}}{648}
=\frac{180\sqrt{2}}{648}
=\frac{5\sqrt{2}}{18}
$