SOLUTION: Determine the values for which the rational expression is undefined. {{{(n - 9)/(n^2 + 3n - 10)}}} {{{n}}}{{{""=""}}}

Algebra ->  Expressions-with-variables -> SOLUTION: Determine the values for which the rational expression is undefined. {{{(n - 9)/(n^2 + 3n - 10)}}} {{{n}}}{{{""=""}}}       Log On


   

Question 1183344: Determine the values for which the rational expression is undefined.
%28n+-+9%29%2F%28n%5E2+%2B+3n+-+10%29
n%22%22=%22%22

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28n+-+9%29%2F%28n%5E2+%2B+3n+-+10%29

A rational expression is undefined when its denominator equals to zero, so
we set the denominator equal to zero and ignore the numerator.

n%5E2+%2B+3n+-+10%22%22=%22%220

Factor the left side

%28n+%2B+5%29%28n+-+2%29%22%22=%22%220

n + 5 = 0;   n - 2 = 0
    n = -5       n = 2  <-- values of n for which the rational expression
                            is undefined.     

Edwin