if a^4+1/a^4=119 then what is the value of a^2+1/a^2?
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Answer:
Given a
4
+
a
4
1
=119,
Adding 2 to both sides,
∴a
4
+
a
4
1
+2=121
(a
2
+
a
2
1
)
2
=121
i.e. a
2
+
a
2
1
=11
Subtracting 2 to from sides,
Now, a
2
−2+
a
2
1
=9
(a−
a
1
)
2
=9
i.e. a−
a
1
=3
Now, a
3
−
a
3
1
=(a−
a
1
)×(a
2
+1+
a
2
1
)=3×12=36
Step-by-step explanation:
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