SOLUTION: For a= Sqrt(10)+ sqrt(2)/2 and b= Sqrt(10)- sqrt(2)/2 , we have
Log2 (a^2+ab+b^2)= ?
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Question 878746: For a= Sqrt(10)+ sqrt(2)/2 and b= Sqrt(10)- sqrt(2)/2 , we have
Log2 (a^2+ab+b^2)= ?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Is that ? That looks like a lot of calculation work, no matter how creatively you try to do it.
DIVIDE AND CONQUER:
,
and
So
and
An approximate value can be calculated (by a calculator) or using a table of logaritms) as
=approx
GRIT YOUR TEETH AND GO:
=
=
=
=
=
=
A CREATIVE IDEA THAT DID NOT WORK TOO WELL:
gives me an idea:
=
=
=
=
=
=
So and
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