# Difference between revisions of "2012 AIME II Problems/Problem 8"

Williamhu888 (talk | contribs) (Created page with "== Problem 8 == The complex numbers <math>z</math> and <math>w</math> satisfy the system <cmath> z + \frac{20i}w = 5+i \\ \\ w+\frac{12i}z = -4+10i </cmath> Find the smallest pos...") |
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The complex numbers <math>z</math> and <math>w</math> satisfy the system <cmath> z + \frac{20i}w = 5+i \\ \\ | The complex numbers <math>z</math> and <math>w</math> satisfy the system <cmath> z + \frac{20i}w = 5+i \\ \\ | ||

w+\frac{12i}z = -4+10i </cmath> Find the smallest possible value of <math>\vert zw\vert^2</math>. | w+\frac{12i}z = -4+10i </cmath> Find the smallest possible value of <math>\vert zw\vert^2</math>. | ||

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+ | == Solution == | ||

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+ | == See also == | ||

+ | {{AIME box|year=2012|n=II|num-b=7|num-a=9}} |