2n+8/n-2=6

Solution for 2n+8/n-2=6 equation:

2n+8/n-2=6

We move all terms to the left:

2n+8/n-2-(6)=0


Domain of the equation: n!=0

n∈R


We add all the numbers together, and all the variables

2n+8/n-8=0

We multiply all the terms by the denominator


2n*n-8*n+8=0

We add all the numbers together, and all the variables

-8n+2n*n+8=0

Wy multiply elements

2n^2-8n+8=0

a = 2; b = -8; c = +8;
Δ = b2-4ac
Δ = -82-4·2·8
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$n=\frac{-b}{2a}=\frac{8}{4}=2$