X-4/x+1-2=0

Solution for X-4/x+1-2=0 equation:

X-4/X+1-2=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X-4/X-1=0

We multiply all the terms by the denominator


X*X-1*X-4=0

We add all the numbers together, and all the variables

-1X+X*X-4=0

Wy multiply elements

X^2-1X-4=0

a = 1; b = -1; c = -4;
Δ = b2-4ac
Δ = -12-4·1·(-4)
Δ = 17
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{17}}{2*1}=\frac{1-\sqrt{17}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{17}}{2*1}=\frac{1+\sqrt{17}}{2}
$