Posted by Karen on Tuesday, February 3, 2009 at 8:19pm.
If the sum of two numbers is 1 and the sum of the cubes of the numbers is 3, what is the sum of the squares of the numbers?

PreCalculus  bobpursley, Tuesday, February 3, 2009 at 8:32pm
m+n=1
m^3+n^3=1
What if one number is zero, so the other number is ....

PreCalculus  Karen, Tuesday, February 3, 2009 at 8:41pm
No, the sum of the cubes is 3 so its m+n=1 m^3+n^3=3

PreCalculus  bobpursley, Tuesday, February 3, 2009 at 8:51pm
oooppppssss
m+n=1
m^3+n^3=3
If you factor the second equation..
(M+n)(M^2mn+n^2) the first term is 1, so
(m^2+n^2 mn)=3 equation1
but if we square the first equation given
m^2+2mn+n^2 = 1
m^2+n^2+2mn=1 equation2
subtracting equation2 from equation1
mn2mn=2
or 3mn=2
OK, this is not making sense. Check my work, I will try again later.
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