3.90625u^2-250u+2900=0

Solution for 3.90625u^2-250u+2900=0 equation:

3.90625u^2-250u+2900=0

a = 3.90625; b = -250; c = +2900;
Δ = b2-4ac
Δ = -2502-4·3.90625·2900
Δ = 17187.5
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-\sqrt{17187.5}}{2*3.90625}=\frac{250-\sqrt{17187.5}}{7.8125}
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+\sqrt{17187.5}}{2*3.90625}=\frac{250+\sqrt{17187.5}}{7.8125}
$