document.write( "Question 1066938: Question: The absolute value of a complex number z = a + bi, denoted |z|, is given by the formula |z| = √a^2 + b^2
\n" ); document.write( "Find three distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of 5. \n" ); document.write( "

Algebra.Com's Answer #682173 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+z+=+3+%2B+4%2Ai+\"$
\n" ); document.write( "(2) $\"+z+=+4+%2B+3%2Ai+\"$
\n" ); document.write( "(3) $\"+z+=+3+-+4%2Ai+\"$
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\n" ); document.write( "check:
\n" ); document.write( "(3)
\n" ); document.write( " $\"+z+=+3+-+4%2Ai+\"$
\n" ); document.write( " $\"+abs%28+z+%29+=+abs%28+3+-+4%2Ai+%29+\"$
\n" ); document.write( " $\"+sqrt%28+3%5E2+%2B+%28-4%29%5E2+%29+=+sqrt%28+9+%2B+16+%29+\"$
\n" ); document.write( " $\"+sqrt%28+9+%2B+16+%29+=+sqrt%28+25+%29+\"$
\n" ); document.write( " $\"+abs%28z%29+=+5+\"$
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\n" ); document.write( "You can check (1) and (2)
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