) If a + /a=4 find the value of
(i) a2 + ⅟a2
(ii) a4 + ⅟a4
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Answer:
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Step-by-step explanation:
It is given that,
(a
2
+1)/a=4
a
2
/a+1/a=4
a+1/a=4
So by multiplying the expression by 2a,
we get
2a
3
+2/a
3
=2[a
3
+1/a
3
]
=2[(a+1/a)
3
−3(a)(1/a)(a+1/a)]
=2[(4)
3
−3(4)]
=2[64−12]
=2(52)
=104
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