29u2=40u

Solution for 29u2=40u equation:

29u^2=40u

We move all terms to the left:

29u^2-(40u)=0

a = 29; b = -40; c = 0;
Δ = b2-4ac
Δ = -402-4·29·0
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-40}{2*29}=\frac{0}{58}
=0
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+40}{2*29}=\frac{80}{58}
=1+11/29
$