x^2-119.34x+28.72=0

Solution for x^2-119.34x+28.72=0 equation:

x^2-119.34x+28.72=0

a = 1; b = -119.34; c = +28.72;
Δ = b2-4ac
Δ = -119.342-4·1·28.72
Δ = 14127.1556
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{-(-119.34)-\sqrt{14127.1556}}{2*1}=\frac{119.34-\sqrt{14127.1556}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-119.34)+\sqrt{14127.1556}}{2*1}=\frac{119.34+\sqrt{14127.1556}}{2}
$