x^2-1.44x+0.45=0

Solution for x^2-1.44x+0.45=0 equation:

x^2-1.44x+0.45=0

a = 1; b = -1.44; c = +0.45;
Δ = b2-4ac
Δ = -1.442-4·1·0.45
Δ = 0.2736
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{-(-1.44)-\sqrt{0.2736}}{2*1}=\frac{1.44-\sqrt{0.2736}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.44)+\sqrt{0.2736}}{2*1}=\frac{1.44+\sqrt{0.2736}}{2}
$