4/169-9w^2=0

Solution for 4/169-9w^2=0 equation:

4/169-9w^2=0

We multiply all the terms by the denominator


-9w^2*169+4=0

Wy multiply elements

-1521w^2+4=0

a = -1521; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-1521)·4
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-156}{2*-1521}=\frac{-156}{-3042}
=2/39
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+156}{2*-1521}=\frac{156}{-3042}
=-2/39
$