a²-5a-1=0 .find a²-1/a²
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a2−5a−1=0
=>a2−1=5a
=>a−a1=5
Squaring both sides, we get
=>a2+a21−2a×a1=25
=>a2+a21=25+2
=>a2+a21=27
Now,
(a+a1)2=a2+a21+2a×a1
=a2+a21+2
=27+2
=29
a+a
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