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Question Number 21048 by Tinkutara last updated on 10/Sep/17

$$\mathrm{If}\mathrm{the}\mathrm{equation}2\cos 2x-(a+7)\cos x+$$$$3a-13=0\mathrm{possesses}\mathrm{atleast}\mathrm{one}\mathrm{real}$$$$\mathrm{solution},\mathrm{then}\mathrm{the}\mathrm{maximum}\mathrm{integral}$$$$\mathrm{value}\mathrm{of}{}^{\prime }{a}^{\prime }\mathrm{can}\mathrm{be}$$

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