x^2-1.08x-0.261=0

Solution for x^2-1.08x-0.261=0 equation:

x^2-1.08x-0.261=0

a = 1; b = -1.08; c = -0.261;
Δ = b2-4ac
Δ = -1.082-4·1·(-0.261)
Δ = 2.2104
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{-(-1.08)-\sqrt{2.2104}}{2*1}=\frac{1.08-\sqrt{2.2104}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.08)+\sqrt{2.2104}}{2*1}=\frac{1.08+\sqrt{2.2104}}{2}
$