SOLUTION: How do I determine the restricted values? x-8/x^2-x

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Question 171485: How do I determine the restricted values?
x-8/x^2-x
Found 2 solutions by solver91311, monika_p:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The restricted values for rational expressions are based on the fact that you cannot divide by zero, so you must restrict any value for any variable in the denominator of a rational expression that would make the value of the denominator be zero.

x-8%2F%28x%5E2-x%29

First, set the denominator equal to zero and solve the resulting equation, if possible.

x%5E2-x=0

x%28x-1%29=0, hence, x=0 or x=1

The solutions to this equation are the restricted values.

Answer by monika_p(71) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-8%29%2F%28x%5E2-x%29 denominator of fraction cannot be equal to 0
then x^2-x cannot be 0
lets check when it is = 0
x^2-x=0
x(x-1)=0
x=0 or x=1
then restricted values are 0 and 1 , it means that this expression is valid for all x except x=0 and x=1