x^2-1.2x-0.5=0

Solution for x^2-1.2x-0.5=0 equation:

x^2-1.2x-0.5=0

a = 1; b = -1.2; c = -0.5;
Δ = b2-4ac
Δ = -1.22-4·1·(-0.5)
Δ = 3.44
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{-(-1.2)-\sqrt{3.44}}{2*1}=\frac{1.2-\sqrt{3.44}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+\sqrt{3.44}}{2*1}=\frac{1.2+\sqrt{3.44}}{2}
$