(x+1/x)=4 then find (x-1/x)
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given,
x+1/x=4
squaring on both sides
(x+1/x)²=4²
x²+1/x²+2*x*1/x=16
x²+1/x²=14
now (x-1/x)²=x²+1/x²-2=14-2=12
x-1/x=√12
x+1/x=4
squaring on both sides
(x+1/x)²=4²
x²+1/x²+2*x*1/x=16
x²+1/x²=14
now (x-1/x)²=x²+1/x²-2=14-2=12
x-1/x=√12
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