perplexus.info :: Numbers : More Arithmetic Integers II

More Arithmetic Integers II (Posted on 2023-03-28)

(I) Three nonzero integers x<y<z are in Arithmetic Sequence (in this order).
Determine all possible triplets (x,y,z) that satisfy this equation;
x² + y² = z² - 2x*y*z

(II) With all the other conditions in (I)remaining unaltered, determine all possible triplets that satisfy this equation:
x³+z³=y³+7*y*z

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(I)(x,y,z) =(-3, -2 -1)
(II) (x, y, z) =(3, 5, 7)
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytic Solution	Brian Smith	2023-03-29 00:31:40
computer solution	Charlie	2023-03-28 15:44:30

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