# Complex Equation Solving

Algebra Level 4

If $A$ and $B$ are real numbers, and the following is true:

$\large{A e^{i \pi/3} + B e^{i \pi/6} = \sqrt{2} e^{-i \pi/4}}$

What is $\large{\frac{A}{B}}$?

Note: $i = \sqrt{-1}$

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