If a = A2 + 5b2-4ab + 2B + 100, find the minimum value of A

The minimum value of a = a2-4ab + 4B2 + B2 + 2B + + 1 + 99 = (a-2b) 2 + (B + 1) 2 + 99, ∵ (a-2b) 2 ≥ 0, (B + 1) 2 ≥ 0, ∵ a ≥ 99, ∵ A is 99

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