-8n^2+2/9=0

Solution for -8n^2+2/9=0 equation:

-8n^2+2/9=0

We multiply all the terms by the denominator


-8n^2*9+2=0

Wy multiply elements

-72n^2+2=0

a = -72; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-72)·2
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-72}=\frac{-24}{-144}
=1/6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-72}=\frac{24}{-144}
=-1/6
$