document.write( "Question 595680: find all numbers for which the rational expression is not defined\"\r
\n" ); document.write( "\n" ); document.write( "2x-7
\n" ); document.write( "______
\n" ); document.write( "x^2+5x-24 \n" ); document.write( "

Algebra.Com's Answer #377253 by jsmallt9(3758) $\"\"$ $\"About$

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$\"%282x-7%29%2F%28x%5E2%2B5x-24%29\"$
\n" ); document.write( "Rational expressions are undefined when one or more denominators are zero. Your expression has just one denominator. So we just have to solve:
\n" ); document.write( " $\"+x%5E2%2B5x-24+=+0\"$
\n" ); document.write( "Now we factor (or use the Quadratic Formula). This factors easily:
\n" ); document.write( "(x + 8)(x - 3) = 0
\n" ); document.write( "From the Zero Product Property we know that one (or more) of the factors must be zero. So:
\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( "These are the values that make the denominator zero so these are the values that make your expression undefined. \n" ); document.write( "

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