SOLUTION: For how many real values of c do we have|1/2-ci|=3/4?

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Question 1139439: For how many real values of c do we have|1/2-ci|=3/4?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.

Consider a circle with the center at the point  1%2F2  on the complex plane.


Take the radius of this circle equal to  3%2F4

and ask yourself, in how many points does this circle intersect the imaginary axis ?



In two points, obviously . . . 


It gives you the 


ANSWER.  There are two such real values of "c".

Solved.