Question 675038
Rational expressions are undefined for values that make its denominator zero. So to answer the question, we must figure out what values make {{{z^2-5z-36}}} zero. In other "words", we need to solve:
{{{z^2-5z-36 = 0}}}<br>
To solve this equation we can factor it or use the Quadratic Formula. This factors fairly easily:
(z-9)(z+4) = 0
From the Zero Product Property we know that one of these factors must be zero. So:
z-9 = 0 or z+4 = 0
Solving these we get:
z = 9 or z = -4
These are the values for z that would make the denominator zero and, therefore, the rational expression undefined.