SOLUTION: Find the real number restrictions on x in the expression: x^2/x^2-14x+49

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Question 90539: Find the real number restrictions on x in the expression:
x^2/x^2-14x+49

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Set the denominator equal to zero (remember: dividing by zero is not allowed)



Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

or

or Now solve for x in each case

Since these two answers are the same, our only answer is

Since makes the entire denominator equal to zero, this means is excluded from the domain.


Notice if we graph we get



and we can see that there is a discontinuity at , so this verifies our answer.

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