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The A.M of all the solutions of $4 \cos^{3} x - 4 \cos^{2} x - \cos (π + x) + 1 = 0 i n (0, 315) i s$

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Correct option is C

4cos3x−4cos2x−cos(x+π)−1=0 4cos3x−4cos2x+cosx−1=0 4cos2xcosx-1+1cosx−1=0 cosx=1 has solutions as x=2π,4π,8π,....100π in (0,315) ∴ A.M=sum of numbersno. of numbers=2π+4π+......+100π50=51π

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The A.M of all the solutions of 4cos3x−4cos2x−cos(π+x)+1=0 in (0,315) is

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The A.M of all the solutions of $4 \cos^{3} x - 4 \cos^{2} x - \cos (π + x) + 1 = 0 i n (0, 315) i s$