(-x+28/x)+2=3

Solution for (-x+28/x)+2=3 equation:

(-x+28/x)+2=3

We move all terms to the left:

(-x+28/x)+2-(3)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(-1x+28/x)+2-3=0

We add all the numbers together, and all the variables

(-1x+28/x)-1=0

We get rid of parentheses

-1x+28/x-1=0

We multiply all the terms by the denominator


-1x*x-1*x+28=0

We add all the numbers together, and all the variables

-1x-1x*x+28=0

Wy multiply elements

-1x^2-1x+28=0

a = -1; b = -1; c = +28;
Δ = b2-4ac
Δ = -12-4·(-1)·28
Δ = 113
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{113}}{2*-1}=\frac{1-\sqrt{113}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{113}}{2*-1}=\frac{1+\sqrt{113}}{-2}
$