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Summing Powers 2 (Posted on 2007-08-25) Difficulty: 3 of 5
What is x + y + z if the following are true:

x4 + y4 + z4 = 11
x3 + y3 + z3 = 7
x2 + y2 + z2 = 3

Just think of this problem as the reverse of this one.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (4 votes)

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Hints/Tips Unreal! | Comment 1 of 5
Square equation 3, subtract equation 1 and divide by 2.

This gives (x^2)(y^2) + (x^2)(z^2) + (y^2)(z^2) = -1.

So, there are no real solutions to this set of equations.

  Posted by Steve Herman on 2007-08-25 21:19:16
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