Question

please answere friends. ​

Answer 1

Answer:

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

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Answer 2

Answer:

$(x + \frac{1}{x})^{2} = {7}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 49 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 49 - 2 = 47$