a+1/a=4.Then a^2-1/a^2=?
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Answer:
a+1/a=4
on squaring both sides
a²+1/a²+2=16
a²+1/a²=14
(a-1/a)²=a²+1/a²-2
=14-2=12
a-1/a=√12
a²-1/a²=(a+1/a)(a-1/a)=4√12
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