anonymous
  • anonymous
**Medal/Fan** Solve for x and determine if the solution is extraneous or not.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1437060127262:dw|
anonymous
  • anonymous
anonymous
  • anonymous
:) I got 5, and non-extraneous

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anonymous
  • anonymous
You got the x=5 part right, but to tell whether or not a solution is extraneous or not, you plug it back in and see what you get. What happens when you plug in x=5?
anonymous
  • anonymous
I get 0
anonymous
  • anonymous
Well, specifically, look at the denominators. Work with the left side first. \(\frac{5}{x-5}\). When you plug in x=5 here, what is in the denominator?
anonymous
  • anonymous
5/5-5=5/0=undefi.
anonymous
  • anonymous
Yup. Since you got 0 in the denominator, when x=5, the equation is undefined. Therefore, the solution doesn't work, and it is extraneous.
anonymous
  • anonymous
Okay:) Thanks!
anonymous
  • anonymous
np :)

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