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for any real x the expression 2(k-x)[x+(x 2 +k 2 ) 0.5 ] cannot exceed a)1 b)2 c)4 d)none of these

for any real x the expression 2(k-x)[x+(x2+k2)0.5] cannot exceed a)1 b)2 c)4 d)none of these

Grade:Upto college level

1 Answers

rahul ramabhadran
16 Points
11 years ago

apply AM≥GM to the expression (k-x) and (x+(x2+k2)) and find the minimum value of AM and equate it as the maximum value of the GM.on simplification,you'll get the answer as 2

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