perplexus.info :: Numbers : Summing Powers 2

Summing Powers 2 (Posted on 2007-08-25)

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)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: solution

| Comment 4 of 5 |

(In reply to solution by Jason)

You say: "x+y+z= -1"

Can you furnish an appropriate analytic methodology in support of the foregoing claim?

Posted by K Sengupta on 2008-07-16 11:47:01

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