SOLUTION: Solve for b: {{{2b/(5+b)-1/(5-b)=10/(b^2-25)}}} A) 5 B) {-1/2 , 5} C) -1/2 D) No solution

Algebra ->  Expressions -> SOLUTION: Solve for b: {{{2b/(5+b)-1/(5-b)=10/(b^2-25)}}} A) 5 B) {-1/2 , 5} C) -1/2 D) No solution       Log On


   

Question 1041829: Solve for b: 2b%2F%285%2Bb%29-1%2F%285-b%29=10%2F%28b%5E2-25%29
A) 5
B) {-1/2 , 5}
C) -1/2
D) No solution
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2b/(5+b)-1/(5-b)=10/(b^2-25)
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Multiply thru by 25-b^2 to get:
2b(5-b) - (5+b) = -10
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10b - 2b^2 - 5 - b = -10
2b^2 - 9b - 5 = 0
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Factor::
(2b+1)(b -5) = 0
b = -1/2
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Cheers,
Stan H.
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