(x^2+3.8x+3.6)/(x^2-1.1x)=0

Solution for (x^2+3.8x+3.6)/(x^2-1.1x)=0 equation:

(x^2+3.8x+3.6)/(x^2-1.1x)=0


Domain of the equation: (x^2-1.1x)!=0

x∈R


We multiply all the terms by the denominator


(x^2+3.8x+3.6)=0

We get rid of parentheses

x^2+3.8x+3.6=0

a = 1; b = 3.8; c = +3.6;
Δ = b2-4ac
Δ = 3.82-4·1·3.6
Δ = 0.04
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{-(3.8)-\sqrt{0.04}}{2*1}=\frac{-3.8-\sqrt{0.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.8)+\sqrt{0.04}}{2*1}=\frac{-3.8+\sqrt{0.04}}{2}
$