數學題 (10 點 )

To make it simple, the 2 equations are re-written as follow:
au = ah + bk...............(1)
au^2 = ah^2 + bk^2.............(2)
From (1) a(u - h) = bk.......................(3)
from (2) a(u^2 - h^2) = bk^2
a(u - h)(u + h) = bk^2....................(4)
(4)/(3) we get
u + h = k.
Sub into (1) we get
au = ah + b(u + h)
au = ah + bu + bh
u(a - b) = (a + b)h
so h = (a - b)u/( a + b) .
Again sub. h = k - u into (1)
we get
k = 2au/( a + b).



2009-04-26 20:52:51 補充：
a = m1, b = m2, h = v1 and k = v2.