2a + (2/a) = 6 হলে, a2 + (1/a2) এর মান কত?
Solution
Correct Answer: Option C
দেওয়া আছে,
2a + (2/a) = 6
বা, 2{a + (1/a)} = 6
বা, a + (1/a) = 6/2
∴ a + (1/a) = 3
এখন,
a2 + (1/a2)
= a2 + (1/a)2
= {a + (1/a)}2 - {2 × a × (1/a)}
= 32 - 2
= 9 - 2
= 7
2a + (2/a) = 6
বা, 2{a + (1/a)} = 6
বা, a + (1/a) = 6/2
∴ a + (1/a) = 3
এখন,
a2 + (1/a2)
= a2 + (1/a)2
= {a + (1/a)}2 - {2 × a × (1/a)}
= 32 - 2
= 9 - 2
= 7
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