Ok so you are given; a, b, c are integers

abc = 729

and a + b + c = 91

Find a^2 + b^2 + c^2

How could I do this algebraically?

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- Nov 6th 2009, 05:10 PMacevipaTricky Problem
Ok so you are given; a, b, c are integers

abc = 729

and a + b + c = 91

Find a^2 + b^2 + c^2

How could I do this algebraically? - Nov 6th 2009, 05:32 PMWilmer
Hint: 1+9+81=91

- Nov 6th 2009, 05:59 PMBacteriusReply
Say . Therefore, we have :

Substitute :

Solve for .

Facts for the lazy :

__Spoiler__:

And for the curious :

__Spoiler__:

Finding the sum of the squares shouldn't be too hard now ;) (remember )