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the minimum value of 3 (x.x -2)(x.x -2)(x.x -2)(x.x -2)(x.x -2) +32 is

the minimum value of 3(x.x -2)(x.x -2)(x.x -2)(x.x -2)(x.x -2) +32 


is

Grade:12th Pass

3 Answers

Akash Kumar Dutta
98 Points
8 years ago

Dear Sonny,

The expression is minimum when the power is minimum.
since the terms are positive the least possible value is 0.
this can only be attained if all (x.x -2)=-2,
then only 32-32=0
Hence x.x=0=>x=0
minimum value= 3^0
= 1 (ANS).

Regards

Rohan Das
36 Points
8 years ago

we know that any positive integer to the power any real number is positive.so the expression cannot have negative value.so least value is 0.

now, for the expression to be minimum,its power has to be minimum that is 0.

so x(x-2)=2

or x*x-2x-2=0,which is possible.

hence the minimum value is 3 to the power 0,that is 1.

Abhishekh kumar sharma
34 Points
8 years ago


The expression is minimum when the power is minimum.
since the terms are positive the least possible value is 0.
this can only be attained if all (x.x -2)=-2,
then only 32-32=0
Hence x.x=0=>x=0
minimum value= 3^0
= 1 (ANS).

Regards

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