2x^2-5.9x+4=0

Solution for 2x^2-5.9x+4=0 equation:

2x^2-5.9x+4=0

a = 2; b = -5.9; c = +4;
Δ = b2-4ac
Δ = -5.92-4·2·4
Δ = 2.81
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{-(-5.9)-\sqrt{2.81}}{2*2}=\frac{5.9-\sqrt{2.81}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.9)+\sqrt{2.81}}{2*2}=\frac{5.9+\sqrt{2.81}}{4}
$