Respuesta:
√[a² / b² + b² / a² + 9] = 4
Explicación paso a paso:
a² + b² = 3ab
(a² + b²) / ab = 3
a² / ab + b² / ab = 3
a / b + b / a = 3
(a / b + b / a)² = 3²
(a / b)² + (b / a)² + 2(a / b)(b / a) = 9
a² / b² + b² / a² + 2 = 9
a² / b² + b² / a² = 9 - 2
a² / b² + b² / a² = 7
√[a² / b² + b² / a² + 9] = √[7 + 9] = √16
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Respuesta:
√[a² / b² + b² / a² + 9] = 4
Explicación paso a paso:
a² + b² = 3ab
(a² + b²) / ab = 3
a² / ab + b² / ab = 3
a / b + b / a = 3
(a / b + b / a)² = 3²
(a / b)² + (b / a)² + 2(a / b)(b / a) = 9
a² / b² + b² / a² + 2 = 9
a² / b² + b² / a² = 9 - 2
a² / b² + b² / a² = 7
√[a² / b² + b² / a² + 9] = √[7 + 9] = √16
√[a² / b² + b² / a² + 9] = 4