SOLUTION: Determine for what values of c the equation, absolute value(2x-1)=x+c has exactly two solutions. Thanks!! :)

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Question 836248: Determine for what values of c the equation, absolute value(2x-1)=x+c has exactly two solutions.
Thanks!! :)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that or . Therefore we want to find all c such that and have different solutions for x. Solving, we get and respectively. The two solutions for x are different unless . All values of c except -1/2 work.