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Home/Practice questions/General Aptitude Test
General Aptitude TestQuantitative ReasoningAlgebra

If a + 1/a + 2 = 0 Then find the value of (a + 2)39 + 1/((a + 2)^39)…

If a + \(\frac{1}{a}\) + 2 = 0

Then find the value of  (a + 2)39 +  \(\frac{1}{(a + 2)^{39}}\) + 13

Answer & explanation+

Correct answer: option 1

If a + \(\frac{1}{a}\) + 2 = 0

it is possible only when a = -1

So put a = -1 in the required term =

 (a + 2)39 +  \(\frac{1}{(a + 2)^{39}}\) + 13  =  (-1 + 2)39 +  \(\frac{1}{(-1 + 2)^{39}}\) + 13 = 15

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