Question

if X+ 1/X=3 then x²+1/x²=​

Answer 1

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Answer 2

Answer:

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Given:-

=> x+$\frac{1}{x}$=3

To find: The value of

$x^2 + \frac{1}{ {x{2} } }$

Now:

$x + \frac{1}{x} = 3 \\ on \: squaring \: both \: the \: sides \: we \: get \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2\times \frac{1}{x} \times x = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$

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