SOLUTION: Please help me with this problem: solve the equation B = 3K / (2B-1) for the variable B.

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Question 342563: Please help me with this problem: solve the equation B = 3K / (2B-1) for the variable B.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation B = 3K / (2B-1) for the variable B.
:
B = %283K%29%2F%28%282B-1%29%29
Multiply both sides by (2B-1)
B(2B-1) = 3k
2B^2 - B = 3k
:
A quadratic equation
2B^2 - B - 3k = 0
Use the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
But in this problem x=B; a=2; b=-1 c=-3k
B+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A2%2A%28-3k%29+%29%29%2F%282%2A2%29+
:
B+=+%281+%2B-+sqrt%281+-+%28-24k%29+%29%29%2F4+
Two solutions
B+=+%281+%2B+sqrt%281+%2B+24k+%29%29%2F4+
and
B+=+%281+-+sqrt%281+%2B+24k+%29%29%2F4+