Question

if (x+1\x) = 3 then (x^2+1\x^2) =?​

Answer 1

Step-by-step explanation:

(x+1/x)²=3²

x²+2×x×1/x+1/x²=9

x²+1/x²=9-1

x²+1/x²=8

Answer 2

Step-by-step explanation:

$given \: (x + \frac{1}{x} ) \: = \: 3 \\ on \: squaring \: both \: sides \\ {(x + \frac{1}{x} )}^{2} = \: {3}^{2} \\ {x}^{2} + {(\frac{1}{x})}^{2} + 2 \times x \times \frac{1}{x} = 9 \\ {x}^{2} + {\frac{1}{ {x}^{2} }}+ 2 = 9 \\ {x}^{2} + {\frac{1}{ {x}^{2} }} = 9 - 2 \\ {x}^{2} + {\frac{1}{ {x}^{2} }} = 7$

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