x^2-5,308x+0,542=0

Solution for x^2-5,308x+0,542=0 equation:

x^2-5.308x+0.542=0

a = 1; b = -5.308; c = +0.542;
Δ = b2-4ac
Δ = -5.3082-4·1·0.542
Δ = 26.006864
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{-(-5.308)-\sqrt{26.006864}}{2*1}=\frac{5.308-\sqrt{26.006864}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.308)+\sqrt{26.006864}}{2*1}=\frac{5.308+\sqrt{26.006864}}{2}
$