x^2-1.5x+0.25=0

Solution for x^2-1.5x+0.25=0 equation:

x^2-1.5x+0.25=0

a = 1; b = -1.5; c = +0.25;
Δ = b2-4ac
Δ = -1.52-4·1·0.25
Δ = 1.25
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{-(-1.5)-\sqrt{1.25}}{2*1}=\frac{1.5-\sqrt{1.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{1.25}}{2*1}=\frac{1.5+\sqrt{1.25}}{2}
$