a² - b² = 8 এবং ab = 3 হলে a² + b² = কত?

A ±10

B 10

C ±11

D 11

Solution

Correct Answer: Option A

দেওয়া আছে, a² + b² = 8
     এবং ab = 3

.: (a² + b²)² = (a² - b²)² + 4a².b²
                   = (8)²+4(ab)²
                   = 64+ 4.3²
                   = 64 + 36
 বা,(a²+b²)² = 100
বা, a² + b² = ±10

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