2a + (2/a) = 6 হলে, a2 + (1/a2) এর মান কত?

2a + (2/a) = 6 হলে, a²+ (1/a²) এর মান কত?

A 3

B 5

C 7

D 9

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

Solution

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