6a²-ab:2ab-b²=6:1find a:b
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Answer:
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
Step-by-step explanation:
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