SOLUTION: if 6a^2-ab:2ab-b^2=6:1 find the a:b

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Question 257461: if 6a^2-ab:2ab-b^2=6:1 find the a:b
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have the following:
%286a%5E2-ab%29%2F%282ab-b%5E2%29=6
cross multiplying, we get
6a%5E2+-+ab+=+12ab+-6b%5E2
setting the equation = 0, we get
6a%5E2+-+13ab+%2B+6b%5E2+=+0
factoring, we get
%282a-3b%29%283a-2b%29=0
solving each we get
a/b = 3/2
a/b = 2/3
So, we have two answers:
a:b = 3:2
a:b = 2:3