X+8/x-8=68.28

Solution for X+8/x-8=68.28 equation:

X+8/X-8=68.28

We move all terms to the left:

X+8/X-8-(68.28)=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X+8/X-76.28=0

We multiply all the terms by the denominator


X*X-(76.28)*X+8=0

We multiply parentheses

X*X-76.28X+8=0

Wy multiply elements

X^2-76.28X+8=0

a = 1; b = -76.28; c = +8;
Δ = b2-4ac
Δ = -76.282-4·1·8
Δ = 5786.6384
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{-(-76.28)-\sqrt{5786.6384}}{2*1}=\frac{76.28-\sqrt{5786.6384}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76.28)+\sqrt{5786.6384}}{2*1}=\frac{76.28+\sqrt{5786.6384}}{2}
$