0.1x^2=x-1.1

Solution for 0.1x^2=x-1.1 equation:

0.1x^2=x-1.1

We move all terms to the left:

0.1x^2-(x-1.1)=0

We get rid of parentheses

0.1x^2-x+1.1=0

We add all the numbers together, and all the variables

0.1x^2-1x+1.1=0

a = 0.1; b = -1; c = +1.1;
Δ = b2-4ac
Δ = -12-4·0.1·1.1
Δ = 0.56
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)-\sqrt{0.56}}{2*0.1}=\frac{1-\sqrt{0.56}}{0.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{0.56}}{2*0.1}=\frac{1+\sqrt{0.56}}{0.2}
$