0.25x^2+0.5x-1=0

Solution for 0.25x^2+0.5x-1=0 equation:

0.25x^2+0.5x-1=0

a = 0.25; b = 0.5; c = -1;
Δ = b2-4ac
Δ = 0.52-4·0.25·(-1)
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{-(0.5)-\sqrt{1.25}}{2*0.25}=\frac{-0.5-\sqrt{1.25}}{0.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.5)+\sqrt{1.25}}{2*0.25}=\frac{-0.5+\sqrt{1.25}}{0.5}
$