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I'm trying to find a closed form (an algebraic solution) for the following system:
x² - y² = 5
x + y = xy
It's a bit tricky but I manage to end up with the quartic equation:
x^4 - 2x^3 + 5x^2 -10x + 5 =0
And this is where I get stuck looking for a closed form root.
Any suggestion would be appreciated
x² - y² = 5
x + y = xy
It's a bit tricky but I manage to end up with the quartic equation:
x^4 - 2x^3 + 5x^2 -10x + 5 =0
And this is where I get stuck looking for a closed form root.
Any suggestion would be appreciated