SSC CGL 2012 Tier 1 1 July NZ Evening IV

Question 142

If a + 1/a+2 = 0, then the value of $$(a+2)^{2}+\frac{1}{(a+2)^{3}}$$ is

Solution

it is given that $$a + \frac{1}{a}$$ = -2

it is possible only when a = -1

hence a + 2 = 1

and so

$$(a+2)^{2}+\frac{1}{(a+2)^{3}}$$ = $$-1^2 + \frac{1}{-1^2}$$ = 2

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