a2 + 1/a2 = 2 হলে, a − 1/a এর মান কত?
Solution
Correct Answer: Option C
আমরা জানি,
(a - 1/a)² = a² - 2(a)(1/a) + 1/a²
বা, (a - 1/a)² = a² - 2 + 1/a²
বা, (a - 1/a)² = (a² + 1/a²) - 2
বা, (a - 1/a)² = 0
বা, a - 1/a = 0
(a - 1/a)² = a² - 2(a)(1/a) + 1/a²
বা, (a - 1/a)² = a² - 2 + 1/a²
বা, (a - 1/a)² = (a² + 1/a²) - 2
বা, (a - 1/a)² = 0
বা, a - 1/a = 0
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