perplexus.info :: Just Math : Calling for ALL solutions

Calling for ALL solutions (Posted on 2023-04-24)

List all solutions of

x^2+y^2=x+y+2

See The Solution Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

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Solution (spoiler)

| Comment 1 of 2

Collect all the x & y terms on the lhs, complete the squares for both x and y and get:

(x-.5)^2 + (y-.5)^2 = 2.5

This is a circle of radius sqrt(2.5), with center at (0.5, 0.5).

All points on the circle are solutions.

Posted by Kenny M on 2023-04-24 10:55:25

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