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If 1 lies between the roots of the equation p^2-m p+1=0 and [x] denotes the greatest integer function then the value of [ ( 4|x| |x|^2+16 )^m ] is

Correct answer

0

Step-by-step solution

aligned & f(p)=p^2-m p+1 1 lies in between roots & 0, f(1) 0 & m^2-4 0,1-m+1 0 & m -2 or m 2 and m 2 & A M G . M & |x|^2+16 2 4|x| .0 4|x| |x|^2+16 1 2 0 ( 4|x| |x|^2+16 )^m 1 & [ ( 4|x| |x|^2+16 )^m ]=0 aligned

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