SOLUTION: show me how to solve 1/1+c - 1/2+c = 1/4

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Question 132703This question is from textbook Algebra 2
: show me how to solve
1/1+c - 1/2+c = 1/4 This question is from textbook Algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve
1/1+c - 1/2+c = 1/4
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Simplify the left side:
[2+c -(1+c)]/[(1+c)(2+c)] = 1/4
[1] / [c^2+3c+2] = 1/4
c^2+3c+2 = 4
c^2+3c-2 = 0
c = [-3 +- sqrt(9-4*-2)]/2
c = [-3 +- sqrt(17)]/2
c = (-3+sqrt(17))/2 or c = (-3-sqrt(17))/2
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Cheers,
Stan H.