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)

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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

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