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Question
If `x-1/x=8,"find" x^2+1/x^2`
Sum
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Solution
Here, `x-1/x=8`,
`8^2=x^2+1/x^2-2` ...`["Using" (x+1/x)^2=x^2+1/x^2+2]`
64 = `x^2+1/x^2-2`
∴ `x^2+1/x^2` = 64 + 2
∴ `x^2+1/x^2` = 66
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