Question

If 2a+7b=11 ,ab=2 find value of 4a square + 49 b square

Answer 1

2a+7b=11 ,ab=2

(2a+7b)² = (11)²

or, 4a² + 2.2a.7b + 49b² = 121

or, 4a² + 49b² = 121 - 28ab

or, 4a² + 49b² = 121 - 56 [ab = 2 ]

so, 4a² + 49b² = 65

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