Math Forum / Mathematics / Algebra Help / March 2005

Hello, all!
I need to prove the following:
a.  a^2 +b^2 + c^2 >= ab + bc+ ca
b.  ax^2 - (a+2b)x + b = 0 has at least one solution for all a and b.

I need to factor the following:
x^4 + 4
So far I got
(x^2+2)^2 - 4x^2, but that is very lame...  I haven't come up with

Well, I think I may have screwed up a little. In looking at the problem it
doesn't make sense that it would be so simply false. There is a question
above it that goes like this:
"Suppose a graph G with n vertices has the property that G is isomorphic to

I needed to answer this question for help with Scrabble (of all
things), mainly for tournament play.  Below is the question in
simplified form:
I am having a birthday party and want to invite all of my n friends.

Could you just check my discussion on this one and see if it explains what
the question asks it to explain.
Question: "Is there a graph with degree sequence 5,4,3,2,2,2. If no, explain
why, if yes draw the graph. Are there any other graphs with this degree

I've been staring at this one for a while! Can someone steer me in the right
direction? So far I haven't been able to make any steps in the right
direction, although I've tried a ton.
Here goes:

if
a= b/b+c  , how do I transpose to calculate c?

What is Normism?
Please visit http://www.normism.org for details!
Norm is the true and original personality of "God".
Why are there so many different religions?

I have:
f(x) = x (1 - (4 / x + 3))
What's my next step?
Find an LCD right?

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Dear Students,
    I am a scientist providing help and consultations for students in
doing assignments, writing theses, projects, dissertations, etc.
I use a new, progressive method of teaching.

   I'm Dr.Timothy Wittneben, most refer to me as [Dr.Witt] being my last
name is difficult to pronounce.  I have a Ph.D. in Physics, with Advanced
Mathematics. Artificial Intelligence, Database Management and Statistical
Analysis being my fields of expertise.

I'm stumped with this one.  It seems like it should be easy,
but I keep making a horrible mess of it:
Assume p,q,r are positive constants.  Find the volume contained between
the coordinate planes and the plane

Hi Guys, 1 more
"The numbers 1,2,3,4,5,6,7,8,9 are divided into three groups. Prove that for
at least one of such groups of numbers the product of these will not be
lower than 73."

What is the maximum value of the expression ab/4(a+b)^2 when a and b
are positive?
I say that it approaches 1 when a and b approach 0.  Is there a more
precise algebraic expression (no calculus) that will show the maximum?