1.9x^2-12.3x+0.12=0

Solution for 1.9x^2-12.3x+0.12=0 equation:

1.9x^2-12.3x+0.12=0

a = 1.9; b = -12.3; c = +0.12;
Δ = b2-4ac
Δ = -12.32-4·1.9·0.12
Δ = 150.378
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{-(-12.3)-\sqrt{150.378}}{2*1.9}=\frac{12.3-\sqrt{150.378}}{3.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.3)+\sqrt{150.378}}{2*1.9}=\frac{12.3+\sqrt{150.378}}{3.8}
$