0.100x^2-1.100x-0.275=0

Solution for 0.100x^2-1.100x-0.275=0 equation:

0.100x^2-1.100x-0.275=0

We add all the numbers together, and all the variables

0.100x^2-1.1x-0.275=0

a = 0.100; b = -1.1; c = -0.275;
Δ = b2-4ac
Δ = -1.12-4·0.100·(-0.275)
Δ = 1.32
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{-(-1.1)-\sqrt{1.32}}{2*0.100}=\frac{1.1-\sqrt{1.32}}{0.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.1)+\sqrt{1.32}}{2*0.100}=\frac{1.1+\sqrt{1.32}}{0.2}
$