Cut Cut.... ONE!

Algebra Level 2

x + 1 x 2 − 9 = 3 + 1 x 2 − 9 x + \frac {1}{x^2 - 9} = 3 + \frac {1}{x^2 - 9}

How many distinct value(s) of x x satisfy the above equation?


The answer is 0.

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Vaibhav Gupta by Vaibhav Gupta , 22, India

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2 solutions

Rama Devi
May 18, 2015

When we compare the two , we arrive at the answer X = 3.But this is not true because when x = 3 , the denominator is 0 .This cannot be possible since anything divided by zero is undefined.Therefore the required answer is 0.

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Daniel Yang
Apr 4, 2015

When you subtract the fraction from both sides, you are left with one feasible answer: x=3. However, if you plug in 3 you get a divide-by-0 error.

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