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The number of solutions of the equation $\cos (π \sqrt{x - 4}) \cos (π \sqrt{x}) = 1$ is

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Correct option is A

Given equation is possible if cos⁡(πx−4)=1 and cos⁡(πx)=1.Since x−4≥0⇒x≥4 and x≥0So x=4 is the only solution.

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The number of solutions of the equation cos⁡(πx−4)cos⁡(πx)=1 is

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The number of solutions of the equation $\cos (π \sqrt{x - 4}) \cos (π \sqrt{x}) = 1$ is