Saturday, August 3, 2013

Solve for b: (1/b) - (b/(b-1)) = 2

%281%2Fb%29+-+%28b%2F%28b-1%29%29+=+2


%28-3b%5E2%2B3b-1%29%2F%28b%2A%28b-1%29%29=0
Only the numerator contributes solutions so...

b+=+%28-3+%2B-+sqrt%28+%283%29%5E2-4%2A%28-3%29%2A%28-1%29%29%29%2F%282%2A%28-1%29%29+

which simplifies to...

b+=+%281+%2B-+sqrt%28+-3%29%29%2F2+
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