x^2-0.25x-0.046875=0

Solution for x^2-0.25x-0.046875=0 equation:

x^2-0.25x-0.046875=0

a = 1; b = -0.25; c = -0.046875;
Δ = b2-4ac
Δ = -0.252-4·1·(-0.046875)
Δ = 0.25
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{-(-0.25)-\sqrt{0.25}}{2*1}=\frac{0.25-\sqrt{0.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.25)+\sqrt{0.25}}{2*1}=\frac{0.25+\sqrt{0.25}}{2}
$