Question

Find the value of:
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Answer 1

x+1/x=4

subtracting 2 from both sides we get

x+1/x-2=2

now LHS is in the form of a²+b²-2ab

which is equal to (a-b)²

so,

(x-1/x)²=2

x-1/x=√2

hope it helps

:-)