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Question

If x1x=9, find the value of x2+1x2

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Solution

We have,x1x=9
On squaring both sides, we get
(x1x)2=92
x22×x×1x+(1x)2=81
x22+(1x)2=81
x2+1x2=81+2
[On transposing -2 on RHS]
x2+1x2=83

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