# 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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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 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)   (Show Source): You can put this solution on YOUR website!Here's the problem for reference: One thing to always remember: You CANNOT divide by zero. So something like is undefined. So this means that the denominators and CANNOT be equal to zero (to avoid division by zero) So if , then . This means that if x=9, then the first denominator is zero, which is not allowed. Also, if then which means that or 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