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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 |
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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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