x^2-x+0,25=1,44

Solution for x^2-x+0,25=1,44 equation:

x^2-x+0.25=1.44

We move all terms to the left:

x^2-x+0.25-(1.44)=0

We add all the numbers together, and all the variables

x^2-1x-1.19=0

a = 1; b = -1; c = -1.19;
Δ = b2-4ac
Δ = -12-4·1·(-1.19)
Δ = 5.76
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{-(-1)-\sqrt{5.76}}{2*1}=\frac{1-\sqrt{5.76}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{5.76}}{2*1}=\frac{1+\sqrt{5.76}}{2}
$