13w^2=9w

Solution for 13w^2=9w equation:

13w^2=9w

We move all terms to the left:

13w^2-(9w)=0

a = 13; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·13·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*13}=\frac{0}{26}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*13}=\frac{18}{26}
=9/13
$