Question

x+1/x=√10 then find the value of x ^2+1/x^2​

Answer 1

$x + \frac{1}{x} = \sqrt{10} \\ \\ squaring \: \: both \: \: sides \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 10 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 8$

Answer 2

Answer:

x² + 1/x² = 8

Step-by-step explanation:

x + 1/x = √10

squaring both sides.

x² + 1/x² + 2 = 10

x² + 1/x² = 8

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