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

Question 1139439: For how many real values of c do we have|1/2-ci|=3/4?
Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.


Consider a circle with the center at the point    on the complex plane.


Take the radius of this circle equal to  

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.

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