x^2-37.1x+228.01=0

Solution for x^2-37.1x+228.01=0 equation:

x^2-37.1x+228.01=0

a = 1; b = -37.1; c = +228.01;
Δ = b2-4ac
Δ = -37.12-4·1·228.01
Δ = 464.37
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{-(-37.1)-\sqrt{464.37}}{2*1}=\frac{37.1-\sqrt{464.37}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37.1)+\sqrt{464.37}}{2*1}=\frac{37.1+\sqrt{464.37}}{2}
$