If x2-1/x=7, findx2+ 1/x2​






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1. Answer:

   Solution: Given: x + 1/x = 7 Squaring on both sides ⇒ (x + 1/x )2 =(7)2 ⇒ x2 + ( 1/x)2 + 2(x)(1/x) = 49 [∵ (a+b)2= a2+b2 + 2ab] ⇒ x2 + 1/(x2) + 2 = 49 ⇒ x2 + 1/(x2) = 49 – 2 ∴ x2 + 1/(x2) = 47

   Step-by-step explanation:

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