a+1/a=4 হলে a4+1/a4 এর মান কত?
Solution
Correct Answer: Option C
দেওয়া আছে, a + 1/a = 4
প্রদত্ত রাশি,
= a4 + 1/a4
= (a2)2 + (1/a2)2
= (a2 + 1/a2)2 - 2.a2.1/a2
= (a2 + 1/a2)2 - 2
= {(a + 1/a)2 - 2.a.1/a}2 - 2
= {(4)2 - 2}2 - 2
= (16 - 2)2 - 2
= (14)2 - 2
= 196 - 2
= 194
প্রদত্ত রাশি,
= a4 + 1/a4
= (a2)2 + (1/a2)2
= (a2 + 1/a2)2 - 2.a2.1/a2
= (a2 + 1/a2)2 - 2
= {(a + 1/a)2 - 2.a.1/a}2 - 2
= {(4)2 - 2}2 - 2
= (16 - 2)2 - 2
= (14)2 - 2
= 196 - 2
= 194
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