SOLUTION: Rational Expressions / Teachers question: For each equation, state the values of x that would result in division by zero when substituted into the original equation. show your work

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Question 481738: Rational Expressions / Teachers question: For each equation, state the values of x that would result in division by zero when substituted into the original equation. show your work.
I will have to write it out as i cannot get the problem to look correct when I make it look like the book. so here goes
3 over X-9 = 1 over X squared - 9X plus 2
or
3
__
X-9
=
1
__
X sq - 9x +2
Thanks in advance =)
Answer by jim_thompson5910(28717) About Me  (Show Source):
You can put this solution on YOUR website!
Here's the problem for reference:

3%2F%28x-9%29=1%2F%28x%5E2-9x%29%2B2


One thing to always remember: You CANNOT divide by zero. So something like 1%2F0 is undefined.




So this means that the denominators x-9 and x%5E2-9x CANNOT be equal to zero (to avoid division by zero)


So if x-9=0, then x=9. This means that if x=9, then the first denominator is zero, which is not allowed.


Also, if x%5E2-9x=0 then x%28x-9%29=0 which means that x=0 or x=9 when we solve for x. So if x=0 or x=9, then the second denominator will be zero, which is not allowed.


So the following values of x will result in division by zero: 0, 9