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Question

If x=3+8, show that x2+1x2=34.

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Solution

x=3+81x=13+8×3-83-8=3-89-8=3-8
And,x+1x=3+8+3-8=6Thus, we have:x+1x=6Squaring both sides, we get:x+1x2=62x2+1x2+2=36x2+1x2=36-2x2+1x2=34

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