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Summing Powers 2 (
Posted on 20070825
)
What is x + y + z if the following are true:
x
^{4}
+ y
^{4}
+ z
^{4}
= 11
x
^{3}
+ y
^{3}
+ z
^{3}
= 7
x
^{2}
+ y
^{2}
+ z
^{2}
= 3
Just think of this problem as the reverse of
this one
.
See The Solution
Submitted by
Brian Smith
Rating:
4.0000
(4 votes)
Comments: (
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)
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 20070825 21:19:16
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