# Trignometry - 8

Geometry Level 4

If $$0 \leq p \leq 3 , 0 \leq q \leq 3$$ and the equation $x^2 + 4 + 3 \cos(px+q) = 2x$ has atleast one solution and the value of $$p+q = \dfrac{k\pi}{4}$$, then what is the minimum positive value of k?

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