(a+1/a)^2=9 then a^3+1/a^3 equal to
Answers
Answered by
0
Answer:
18 is the answer according to my theory
Answered by
0
Step-by-step explanation:
Correct option is
C
±24
2
a+
a
1
=6
Squaring both sides,
=(a+
a
1
)
2
=6
2
=a
2
+(
a
1
)
2
+2(a)(
a
1
)=36
=a
2
+
a
2
1
+2=36
=a
2
+
a
2
1
=34
Now,
(a−
a
1
)
2
=a
2
+
a
2
1
−2(a)(
a
1
)
=34−2
=32
=>a−
a
1
=±
32
=±4
2
Now,
(a
2
−
a
2
1
)=(a+
a
1
)(a−
a
1
)
=6(±4
2
)
=±24
2
So
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