document.write( "Question 1180534: Find all solutions to the below equation, |z + 5 - 2i| =3 , where z is a complex number,
\n" ); document.write( "and sketch the set of solutions on the complex plane. \n" ); document.write( "

Algebra.Com's Answer #810241 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "This equation is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    | z - (-5 + 2i) | = 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It describes all the points in complex plane, that are remoted exactly 3 units from the point (-5 + 2i)  on the the complex plane.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the solution to this equations are all those points in complex plane, that are remoted 3 units from the point (-5 + 2i).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In other words, the solution to this equations are the points on the complex plane that represent the circle \r\n" );
document.write( "\r\n" );
document.write( "of the radius of 3 units centered at the point (-5 + 2i).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );