Algebra problem

[Vitlu]

We have that a, b, c>0 and a+b+c=1
What is the minimum value of
a^2+2b^2+c^2?

 

[pka]

We have that a, b, c>0 and a+b+c=1
What is the minimum value of
a^2+2b^2+c^2?

Question: does you notation mean that \(a>0,~b>0,~\&~c>0~?\)

 

[JeffM]

You lose nothing in generality from assuming that [MATH]a \ge b \ge c > 0.[/MATH]
I take it that you are not allowed to use calculus?

 

[Vitlu]

Question: does you notation mean that \(a>0,~b>0,~\&~c>0~?\)

Yes

 

[Deleted member 4993]

We have that a, b, c>0 and a+b+c=1
What is the minimum value of
a^2+2b^2+c^2?

Please show us what you have tried and exactly where you are stuck.

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