Math Forum :: View topic – 如何解啊好難喔!

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lungxo

Joined: 18 Jul 2004Posts: 4

Posted: Sun Nov 14, 2004 4:27 pm    Post subject: 如何解啊好難喔!

解聯立方程組2/x=5x^4+y^4+10x^2y^2及1/y=x^4+5y^4+10x^2y^2 。

Kenny TM~

Frequent VisitorJoined: 20 Jan 2004Posts: 127

Posted: Mon Nov 15, 2004 7:32 pm    Post subject:

The solution involves root of general quintic equation (5次方程) that can’t be solve algebraically.

Nevertheless, there is a pair of real solution (0.7212322083680175, 0.5099122077098) found using some numerical methods. (The other 24 are all complex solutions.)

koopa

Frequent VisitorJoined: 21 Jan 2004Posts: 56

Posted: Tue Nov 16, 2004 12:21 am    Post subject:

2 = x^5 + 5xy^4 + 10x^3y^2 (