the minimum value of (x4+2x2+101)/(x2+1) for xbelongs to all R no. is equal to???

Dear Student,
Please find below the solution to the asked query:

fx=x4+2x2+101x2+1=x4+2x2+1+100x2+1=x2+12+100x2+1=x2+12x2+1+100x2+1fx=x2+1+100x2+1We know that for positive numbersArithmetic NumberGeometric MeanApply it for x2+1 and 100x2+1 x2+1+100x2+12 x2+1×100x2+1fx2100fx20Hence minimum value of fx is 20.

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