Thread: Solving Rational functions

Can someone explain this to me?

1. 2+ 5/x+3 = 1 - (x+1) /x
2. 6x/(x-3) +3x = 2x^2/(x-3) -5

how do i solve this multiple by x? i dont understand, i know i just asked but im very confused at how to solve these types of questions. How to isolate x to oneside and get ride of the denominator

Originally Posted by skg94

Can someone explain this to me?

1. 2+ 5/x+3 = 1 - (x+1) /x
2. 6x/(x-3) +3x = 2x^2/(x-3) -5

how do i solve this multiple by x? i dont understand, i know i just asked but im very confused at how to solve these types of questions. How to isolate x to oneside and get ride of the denominator

1. The 1st equation is incomplete.

2. I assume that you want to solve



Determine the domain of the equation.

Multiply through by (x - 3). You'll get:



Expand the brackets, collect like terms at LHS of the equation. You should come out with:



Apply the quadratic formula. You'll get 2 solutions. Check your solutions against the domain. The finmal result should be x = -5.