SOLUTION: For what value(s) of d does the equation |x-c|=d have no real solution? For what values of d does it have two real solutions?

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Question 1107558: For what value(s) of d does the equation |x-c|=d have no real solution? For what values of d does it have two real solutions?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The absolute value of a number or expression is either 0 or positive. So there is no solution (real or otherwise) if d is negative.

There is a single solution if d is 0; and there are exactly two solutions if d is any positive number.