Write the Lagrangian function for the following nonlinear program:
Min x12 + 2x22 - 8x1 - 12x2 + 34
subject to: x12 + 2x22 = 5
Answer: L = x12 + 2x22 - 8x1 - 12x2 + 34 - λ (x12 + 2x22 - 5)
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