Question 1139439
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Consider a circle with the center at the point  {{{1/2}}}  on the complex plane.


Take the radius of this circle equal to  {{{3/4}}}

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



In two points, obviously . . . 


It gives you the 


<U>ANSWER</U>.  There are two such real values of "c".
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Solved.