X+4/x-4=3

Solution for X+4/x-4=3 equation:

X+4/X-4=3

We move all terms to the left:

X+4/X-4-(3)=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X+4/X-7=0

We multiply all the terms by the denominator


X*X-7*X+4=0

We add all the numbers together, and all the variables

-7X+X*X+4=0

Wy multiply elements

X^2-7X+4=0

a = 1; b = -7; c = +4;
Δ = b2-4ac
Δ = -72-4·1·4
Δ = 33
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{-(-7)-\sqrt{33}}{2*1}=\frac{7-\sqrt{33}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{33}}{2*1}=\frac{7+\sqrt{33}}{2}
$