SOLUTION: Finding solutions to equation |(x+6)/(x-4)| = 13. Unsure how to proceed as there is a fraction in the absolute field. Any help would be appreciated.

Question 588189: Finding solutions to equation |(x+6)/(x-4)| = 13. Unsure how to proceed as there is a fraction in the absolute field. Any help would be appreciated.
Answer by Edwin McCravy(20086) (Show Source): You can put this solution on YOUR website!

             = 13

We can use the principle that the absolute value of a quotient
equals the quotient of the absolute values  = 

             = 13

Then we can multiply through by |x-4|,  which we can do as long as x is not 4.

          |x+6| = 13|x-4|

There are two cases:

            x+6 = 13(x-4)     AND      x+6 = -13(x-4)

Solve those and get

              x =               AND     x = 

 
Edwin

RELATED QUESTIONS
A square field contains as many square feet as there are feet in the fence enclosing it. (answered by josmiceli,solve_for_x)

how is this solved I am unsure how to proceed 4/9-1/9... (answered by richwmiller,stanbon)

A man who died in 1976 was x years old in the year x^2 where x is an integer. How old was (answered by Alan3354)

I need to solve this equation 3/x+3 - 8/x = 4/2(x+3) + 5/4x 3/x+3 is a fraction as (answered by Alan3354)

The first two are finding the domain and the last three are simplifying expressions. The... (answered by macston)

Two mixtures contain p% and q% respectively of a certain ingredient. Show x units of the (answered by josgarithmetic,ikleyn)

I am to solve this problem finding all real or imaginary solutions. I believe I solved... (answered by venugopalramana)

What is the standard equation of: 4x^2 + 3y^2 + 8x - 24y + 51 = 0? I understand that... (answered by lwsshak3)

2) Solve for x. 5x^2=-19x-12... (answered by Alan3354,ewatrrr)