1.

Find the value of the expression (x2 – 2x + 1)/(x2 + 3x + 1), if it is given that x + (1/x) = 3.1. 1/32. 1/93. 1/54. 1/6

Answer» Correct Answer - Option 4 : 1/6

Given:

x + (1/x) = 3

Calculation:

∵ x + (1/x) = 3

⇒ (x2 + 1)/x = 3

⇒ x2 + 1 = 3x     -----(1)

Now, rearranging the given equation;

⇒ [(x2 + 1) – 2x]/[(x2 + 1) + 3x]

⇒ (3x – 2x)/(3x + 3x)     -----(From 1)

⇒ x/6x

⇒ 1/6



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