Trignometry - 8

Geometry Level 4

If 0p3,0q3 0 \leq p \leq 3 , 0 \leq q \leq 3 and the equation x2+4+3cos(px+q)=2x x^2 + 4 + 3 \cos(px+q) = 2x has atleast one solution and the value of p+q=kπ4 p+q = \dfrac{k\pi}{4} , then what is the minimum positive value of k?

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