56.2*x^2-30.1*x+3.7625=0

Solution for 56.2*x^2-30.1*x+3.7625=0 equation:

56.2x^2-30.1x+3.7625=0

a = 56.2; b = -30.1; c = +3.7625;
Δ = b2-4ac
Δ = -30.12-4·56.2·3.7625
Δ = 60.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30.1)-\sqrt{60.2}}{2*56.2}=\frac{30.1-\sqrt{60.2}}{112.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30.1)+\sqrt{60.2}}{2*56.2}=\frac{30.1+\sqrt{60.2}}{112.4}
$