If x-1/2=1/2, then the value of x is
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x+1x=2
(x+1x)2=22
x2+1x2+2=4
x2+1x2=2(1)
(x−1x)2=x2+1x2−2=2−2=0
(x−1x)=0
Heuristically,
x+1x=2
By observation, we come to know that above is possible for only x=1
⟹
(x−1x)=0
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