1/x=x+7/x

Solution for 1/x=x+7/x equation:

1/x=x+7/x

We move all terms to the left:

1/x-(x+7/x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

1/x-(+x+7/x)=0

We get rid of parentheses

1/x-x-7/x=0

We multiply all the terms by the denominator


-x*x+1-7=0

We add all the numbers together, and all the variables

-x*x-6=0

Wy multiply elements

-1x^2-6=0

a = -1; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·(-1)·(-6)
Δ = -24
Delta is less than zero, so there is no solution for the equation