x^2+0.75x-0.25=0

Solution for x^2+0.75x-0.25=0 equation:

x^2+0.75x-0.25=0

a = 1; b = 0.75; c = -0.25;
Δ = b2-4ac
Δ = 0.752-4·1·(-0.25)
Δ = 1.5625
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{-(0.75)-\sqrt{1.5625}}{2*1}=\frac{-0.75-\sqrt{1.5625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.75)+\sqrt{1.5625}}{2*1}=\frac{-0.75+\sqrt{1.5625}}{2}
$