Test:12 QNo:8

minimize x4+ 1/x4 +x2+ 1/x2+ x+ 1/x+ x3+ 1/x3 +1

4 Answers

1
CALCULAS ALGEBRA ·

please solve this

62
Lokesh Verma ·

take each of these seperately,

x4+1/x4 > 2
and so on..
so the answer "could be" 9 (If it is given that x>0)

Otherwise, you should observe taht this is a GP.. Then find the derivative.. (I think that will be a bit complex.. but could be just pulled off)

1
CALCULAS ALGEBRA ·

but bhaiya this is only true for positive x.what about x+1/x and x3+1/x3when x is negative???

62
Lokesh Verma ·

yes.. I was also wondering that..

I think the test should have mentioned that specifically.. (Havent seen that test though)
another method woudl be to take the derivative.. (but that wouldnt be a good method.. )
Though what you would get is an AG series..

Dont know if that would give something worthwhile...

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