a+1/a = 3 হলে a4 + (1/a)4 = কত?
Solution
Correct Answer: Option B
a⁴ + (1/a)⁴
= (a²)² + (1/a²)²
= (a² + 1/a²)² - 2a².1/a²
= {(a + 1/a)² - 2a.1/a}² - 2
= (3² - 2)² - 2
= 7² - 2
= 49 - 2
= 47
= (a²)² + (1/a²)²
= (a² + 1/a²)² - 2a².1/a²
= {(a + 1/a)² - 2a.1/a}² - 2
= (3² - 2)² - 2
= 7² - 2
= 49 - 2
= 47
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