SOLUTION: For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions?
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Question 1079766
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For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions?
Answer by
ikleyn(52847)
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The answer is THIS:
at x = 2, the value of x + c must be positive.
In other words, 2+c must be positive: 2+c > 0,
which implies c > -2.
Plot y = 2*|2x-4| (red) and y = x - 1.5 (green)