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x^8-x^5-1/x+1/x^4 is greater than or equal to 0 is satisfied for (options are-positive value of x,negative value of x, allreal numbers except zero)

x^8-x^5-1/x+1/x^4 is greater than or equal to 0 is satisfied for (options are-positive value of x,negative value of x, allreal numbers except zero)

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2 Answers

Gokul Joshi AskiitiansExpert-IITK
42 Points
10 years ago

Dear Sudha,

Factorize it and you get f(x) = (x9-1)(x3-1)/x4. Here both factors in numerator are >=0 for x >= 1 and <0 for x < 1. So their product is >=0 for all x. Denominator is always >= 0  so f(x) >= 0 for all x except x = 0 where f(x) is not defined.

Please feel free to post as many doubts on our discussion forum as you can.we will get you the answer and detailed  solution very  quickly. All the best.

Regards,
Askiitians Experts,
Gokul  Joshi

sudha
6 Points
10 years ago

thanks

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