Find all values of the variable for which the rational expression is undefined.
-$\frac{x^{2}-36}{x^{2}-17 x+72}$

A) 8,9
B) $-9,8$
C) $-8,9$
D) $-8,-9$

Question

Find all values of the variable for which the rational expression is undefined.
-$\frac{x^{2}-36}{x^{2}-17 x+72}$

A) 8,9
B) $-9,8$
C) $-8,9$
D) $-8,-9$

Quizplus · Accepted Answer

The rational expression is undefined when the denominator is equal to zero. Factoring the denominator $x^{2}-17x+72$ gives $(x-8)(x-9)=0$, so the values that make the expression undefined are $x=8$ and $x=9$.

Find All Values of the Variable for Which the Rational x2−36x2−17x+72\frac{x^{2}-36}{x^{2}-17 x+72}x2−17x+72x2−36​

Find All Values of the Variable for Which the Rational $\frac{x^{2}-36}{x^{2}-17 x+72}$