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Question

If 2xx22x+1=12, then find the value of (x1x)2.

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Solution

Given,
2xx22x+1=12
or, x22x+1=4x
or, x26x+1=0
or, x2+1=6x
or, x+1x=6......(1).
Now,
(x1x)2=(x+1x)24.x.1x=624=32. [ Using (1)]

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