Write the word or phrase that best completes each statement or answers the question
-If 8 is substituted for $x$ in the rational expression $\frac{x-8}{x^{2}-64}$, the result is $\frac{0}{0}$. Mathematicians have been known to say "Any number divided by itself is 1 ." Does this mean that this expression is equal to 1 for $\mathrm{x}=8$ ? Explain why or why not.

Question

Quizplus · Accepted Answer

the expression is not equal to 1 for x=8. When x=8, the expression becomes $\frac{8-8}{8^{2}-64} = \frac{0}{0}$, which is an undefined value. While it is true that "any number divided by itself is 1," this only applies when the denominator is not equal to zero. In this case, the denominator becomes zero when x=8, and division by zero is undefined in mathematics. Therefore, the expression is not equal to 1 for x=8.

Write the Word or Phrase That Best Completes Each Statement xxx

Write the Word or Phrase That Best Completes Each Statement $x$