x² + 1/x² = 79 হলে x + 1/x এর মান কত?

A ± 9

B ± 8

C -9

D -8

Solution

Correct Answer: Option A

x² + 1/x² = 79
⇒ (x + 1/x)² - 2.x . 1/x = 79
⇒ (x + 1/x)² - 2 = 79
⇒ (x + 1/x)² = 81
⇒ x + 1/x = ± 9

অর্থাৎ, x + 1/x এর মান ± 9

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