What is the largest value of $x$ such that the expression \[\dfrac{x+1}{8x^2-65x+8}\] is not defined?

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15-04-2018
Mathematics

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What is the largest value of $x$ such that the expression \[\dfrac{x+1}{8x^2-65x+8}\] is not defined?

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sqdancefan sqdancefan · Answer 1 · 2018-04-15T02:51:05+02:00

sqdancefan sqdancefan

15-04-2018

The expression [tex]\frac{x+1}{8x^{2}-65x+8}[/tex] is undefined when its denominator is zero. The denominator factors as
(x-8)(8x -1)
so it will be zero for x = 1/8 and x = 8.

The largest value of x for which the expression is undefined is 8.

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