if a2-3a-1=0 , find the value of a2+1/a2
=
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Answer:
a
2
−3a−1=0
=>a
2
−1=3a
=>a−
a
1
=3
Squaring both sides,
=>(a−
a
1
)
2
=3
2
=>a
2
+
a
1
2
−2(a)(
a
1
)=9
=>a
2
+
a
1
2
=9+2
=11
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