SOLUTION: find all numbers for which the rational expression is not defined: 2x-7/xsquared+5x-24
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Question 767854: find all numbers for which the rational expression is not defined: 2x-7/xsquared+5x-24
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
It is undefined when the denominator is equal to zero.
Find the value of x that makes the denominator equal to zero.
2x - 7
------------
x² + 5x - 24
Set the denominator equal to zero and solve for x.
x² + 5x - 24 = 0 {set the denominator equal to 0}
(x + 8)(x - 3) = 0 {factored into two binomials}
x + 8 = 0 or x - 3 = 0 {set each factor equal to 0}
x = -8 or x = 3 {solved for x}
The values for x that make the expression undefined are -8 and 3.
For more help from me, visit: www.algebrahouse.com
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