If , , and the equation has at least one solution, find…

MATHEMATICS · Subjective · AoPS · Mathematics · More Inequalities · More Inequalities

Problem

If 0≤a≤30\leq a\leq3, 0≤b≤30\leq b\leq3, and the equation x2+4+3cos⁡(ax+b)=2xx^2+4+3\cos(ax+b)=2x has at least one solution, find a+ba+b.

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