if a +1/a = 2 find a⁴+1/a²
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Step-by-step explanation:
It is given that,
a
2
−1/a
2
=5
So,
By using the formula, (a+b)
2
[a
2
−1/a
2
]
2
=a
4
+1/a
4
−2
[a
2
−1/a
2
]
2
+2=a
4
+1/a
4
Substitute the value of a
2
−1/a
2
=5, we get
5
2
+2=a
4
+1/a
4
a
4
+1/a
4
=25+2
=27
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