perplexus.info :: Just Math : Weird equations

Weird equations (Posted on 2019-03-18)

Find the number of solutions in real numbers to the system of equations below.

x⁴+2y³-x=-1/4+3√3
y⁴+2x³-y=-1/4-3√3

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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

Wolfram Alpha's solution

| Comment 1 of 2

Wolfram Alpha finds only one real solution:

x = 1/2 (-1 - sqrt(3)) ~= -1.36603

y = 1/2 (sqrt(3) - 1) ~= 0.366025

Posted by Charlie on 2019-03-18 12:41:51

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info