If a² + b² = 5ab, then the value of a²/b² + b²/a² is

A 16

B 23

C -16

D -23

Solution

Correct Answer: Option B

দেওয়া আছে , a² + b² = 5ab
a²/b²+b²/a²=(a⁴+b⁴)/a²/b²
                  =(a²)²+(b²)²/a²b²
                  =(a²+b²)²-2.a².b²/a²b²
                  ={(5ab)²)-2a²b²/a²b²
                  =(25a²b²-2a²b²)/a²b²
                  =23a²b²/a²b²
                  =23

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