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Question

If x=2+3, find the value of x2+1x22.


Solution

x=2+3Now, 1x=12+3×2-32-3=2-322-32=2-3So,x+1x=2+3+2-3=4 x+1x=4Squaring both sides, we get:x2+1x2+2=16x2+1x2=14Then, again squaring both sides, we get:x2+1x22=196

Mathematics
RS Aggarwal (2017)
Standard IX

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