Hi below is the problem:

3x2 – 4x + 3y = 0

3y2- 4y + 3x = 0

thx u!

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- April 23rd 2008, 07:39 PMcyyPlease help! just one Simultaneous equations' problem'''
Hi below is the problem:

3x2 – 4x + 3y = 0

3y2- 4y + 3x = 0

thx u! - April 23rd 2008, 07:46 PMJhevon
- April 23rd 2008, 08:00 PMcyy
if i make 3x^2 - 4x + 3y = 0 ---- 1

3y^2 - 4y + 3x = 0 ---- 2

(1) - (2)

hence i gt: 3x^2 - 3y^2 + 3y - 3 x + 4y - 4 x = 0

3( x - y ) ( x + y ) - 7( x - y ) = 0

how shd i continue from here thx... - April 23rd 2008, 08:24 PMSoroban
Hello, cyy!

Quote:

Subtract [2] from [1]: .

Factor: .

Factor: .

Factor: . . . Ah! I see that you already did this!

And we have two equations to solve . . .

. . Substitute into [1]: .

. . And we have: .

. . Substitute into [1]: .

. . which simplifies to: . .which has no real roots.

Therefore: .