document.write( "Question 837926: Find all numbers for which the rational expression is not defined:
\n" ); document.write( "2x-7 / x^2+5x-24\r
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Algebra.Com's Answer #504808 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
First of all, please put numerators and denominators in parentheses. What you posted meant:
\n" ); document.write( " $\"2x-7+%2F+x%5E2%2B5x-24\"$
\n" ); document.write( "But I'm quite sure you intended:
\n" ); document.write( "(2x-7)/(x^2+5x-24) or $\"%282x-7%29%2F%28x%5E2%2B5x-24%29\"$

\n" ); document.write( "A rational expression is undefined when its denominator is zero. So the answer(s) to this problem will be the solutions of:
\n" ); document.write( " $\"x%5E2%2B5x-24+=+0\"$
\n" ); document.write( "Factoring we get:
\n" ); document.write( "(x+8)(x-3) = 0
\n" ); document.write( "From the Zero Product Property:
\n" ); document.write( "x+8 = 0 or x-3 = 0
\n" ); document.write( "Solving these we get:
\n" ); document.write( "x = -8 or x = 3

\n" ); document.write( "So the values of x that make the rational expression undefined are -8 and 3. \n" ); document.write( "

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