2x-1/x-2=1.26

Solution for 2x-1/x-2=1.26 equation:

2x-1/x-2=1.26

We move all terms to the left:

2x-1/x-2-(1.26)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

2x-1/x-3.26=0

We multiply all the terms by the denominator


2x*x-(3.26)*x-1=0

We multiply parentheses

2x*x-3.26x-1=0

Wy multiply elements

2x^2-3.26x-1=0

a = 2; b = -3.26; c = -1;
Δ = b2-4ac
Δ = -3.262-4·2·(-1)
Δ = 18.6276
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{-(-3.26)-\sqrt{18.6276}}{2*2}=\frac{3.26-\sqrt{18.6276}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.26)+\sqrt{18.6276}}{2*2}=\frac{3.26+\sqrt{18.6276}}{4}
$