1.3v+0.04v^2=200

Solution for 1.3v+0.04v^2=200 equation:

1.3v+0.04v^2=200

We move all terms to the left:

1.3v+0.04v^2-(200)=0

a = 0.04; b = 1.3; c = -200;
Δ = b2-4ac
Δ = 1.32-4·0.04·(-200)
Δ = 33.69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.3)-\sqrt{33.69}}{2*0.04}=\frac{-1.3-\sqrt{33.69}}{0.08}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.3)+\sqrt{33.69}}{2*0.04}=\frac{-1.3+\sqrt{33.69}}{0.08}
$