document.write( "Question 1139439: For how many real values of c do we have|1/2-ci|=3/4? \n" ); document.write( "
Algebra.Com's Answer #759910 by ikleyn(52873)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Consider a circle with the center at the point  \"1%2F2\"  on the complex plane.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Take the radius of this circle equal to  \"3%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "and ask yourself, in how many points does this circle intersect the imaginary axis ?\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In two points, obviously . . . \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives you the \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  There are two such real values of \"c\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );