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[" Let "alpha,beta,gamma" be three nonze...

[" Let "alpha,beta,gamma" be three nonzero real numbers such that the equation "sqrt(3)alpha" cos "x+2 beta sin x=gamma,x in[-(pi)/(2),(pi)/(2)]" has two "],[" distinct real roots "a" and "b" with "a+b=(pi)/(3)" .If the range of values of "(2 gamma)/(3 alpha+2 beta)" is "[q,r)" ,then the value of "q+r" is "]

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