1.

If a + 1/(a + 7) = (-5); find the value of (a + 7)11 + 1/(a + 7)12?1. 42. 13. 04. 2

Answer» Correct Answer - Option 4 : 2

Given:

[a + 1/(a + 7)] = (-5)

Concept:

If the value of the equation x + (1/x) is given as 2, then the value of x = 1.

Calculation:

∵ [a + 1/(a + 7)] = (-5)

Adding (7) on both sides;

⇒ [(a + 7) + 1/(a + 7)] = (-5) + 7

⇒ [(a + 7) + 1/(a + 7)] = 2

Now, this is in the form ‘x + (1/x) = 2’

a + 7 = 1

[(a + 7)11 + 1/(a + 7)12] = (1)11 + 1/(1)12

= 1 + 1

= 2



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