IPMAT/Algebra•6mos
jainius_realm
IIM Ranchi

Let a,b,c > 0 with abc = 1

Find the min value of S

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Comments (9)

E
elitelead
•6mos

Minimum will occur when a = b = c, since abc = 1, a = b = c = 1, minimum value of S = 3/4

2

this expression doesn't look symmetric tho

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E
elitelead
•6mos
Correct

True but it is cylicwise addition of terms, try to take LCM and then try to proceed. Hint: (a+b+c)^3 = (a+b+c)1/2[(a-b)^2 + (b-c)^2 + (c-a)^2] + 3abc

2

Could you please write the eqn on ppr and attach the img,

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+1

1

it seems lengthy + idk how to solve this

you'll get 4th power bro.

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E
elitelead
•6mos

3

In 3rd step, you wrote c^3 instead of c^4.

anyway

thanks.

1

I thought the same, but the ans shows 9/16

Possibility could be of the question being S²

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