SOLUTION: 8x + 15/x = 29 I need to show the work...I just know the answer is three but I cannot explain how I got there....HELP

Algebra ->  Equations -> SOLUTION: 8x + 15/x = 29 I need to show the work...I just know the answer is three but I cannot explain how I got there....HELP       Log On


   

Question 8457: 8x + 15/x = 29
I need to show the work...I just know the answer is three but I cannot explain how I got there....HELP
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
8x+%2B+15%2Fx+=+29... a fractional term, so multiply all 3 terms by x, to give

8x%5E2+%2B+15+=+29x
--> 8x%5E2+-29x+%2B+15+=+0

This is a quadratic that you can factorise as (8x-5)(x-3) = 0

so either 8x-5 = 0 OR x-3 = 0

so x = 5/8 OR x = 3

jon