190x^2-6.86x-4.059=0

Solution for 190x^2-6.86x-4.059=0 equation:

190x^2-6.86x-4.059=0

a = 190; b = -6.86; c = -4.059;
Δ = b2-4ac
Δ = -6.862-4·190·(-4.059)
Δ = 3131.8996
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{-(-6.86)-\sqrt{3131.8996}}{2*190}=\frac{6.86-\sqrt{3131.8996}}{380}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.86)+\sqrt{3131.8996}}{2*190}=\frac{6.86+\sqrt{3131.8996}}{380}
$