SOLUTION: What is the number of distinct solutions of the equation |x-|2x+1||=3?
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Question 1148537: What is the number of distinct solutions of the equation |x-|2x+1||=3?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
when x = -1/2. So consider two cases, one with x < -1/2 and the other with x > -1/2.
Case 1: x < -1/2; 2x+1 < 0
The solution on the interval x < -1/2 is then
Case 2: x > -1/2; 2x+1 > 0
The solution on the interval x > -1/2 is then
ANSWER: There are two solutions to the equation: -4/3 and 2.
A graph, showing the intersection of the two graphs at x=-4/3 and x=2....
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