document.write( "Question 572316: Please help me solve this equation: { { { sqrt ( z ) = (2/3-2i) + 2 + 5i } } } \n" ); document.write( "

Algebra.Com's Answer #368446 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me solve this equation:
\n" ); document.write( "Is this the problem you had in mind?
\n" ); document.write( " $\"sqrt%28z%29+=+2%2F%283-2i%29+%2B+2+%2B+5i\"$
\n" ); document.write( "then multiply by (3-2i), resulting in
\n" ); document.write( " $\"%283-2i%29%2Asqrt%28z%29+=+2+%2B+2%283-2i%29+%2B+5i%283-2i%29\"$
\n" ); document.write( "combine like terms on the right
\n" ); document.write( " $\"%283-2i%29%2Asqrt%28z%29+=+2+%2B+6+-+4i+%2B+15i+-+10i%5E2\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%283-2i%29%2Asqrt%28z%29+=+8+%2B+11i+-+10%28-1%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%283-2i%29%2Asqrt%28z%29+=+8+%2B+11i+%2B+10\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%283-2i%29%2Asqrt%28z%29+=+18+%2B+11i\"$
\n" ); document.write( "divide both sides by (3-2i)
\n" ); document.write( " $\"sqrt%28z%29+=+%2818+%2B+11i%29%2F%283-2i%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "z = $\"%28%2818+%2B+11i%29%2F%283-2i%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );