document.write( "Question 983314: What are the square roots of (3+4i)?
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Algebra.Com's Answer #604111 by josgarithmetic(39621)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28x%2Byi%29%28x%2Byi%29=3%2B4i\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2xyi%2By%5E2%2Ai%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2%2Ai%5E2%2B2xyi\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%28-1%29y%5E2%2B2xyi\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-y%5E2%2B2xyi\" compare corresponding parts to \"3%2B4i\".\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%5E2-y%5E2=3%2C2xy=4%29\"
\n" ); document.write( "Find either variable or the other using the second equation and substitute into the first equation:
\n" ); document.write( "\"y=2%2Fx\";
\n" ); document.write( "\"x%5E2-%282%2Fx%29%5E2=3\"
\n" ); document.write( "\"x%5E4-2=3x%5E2\"
\n" ); document.write( "\"x%5E4-3x%5E2-2=0\"
\n" ); document.write( "---not factorable---
\n" ); document.write( "\"x%5E2=%283%2B-+sqrt%289%2B4%2A2%29%29%2F2\"
\n" ); document.write( "\"x%5E2=%283%2B-+sqrt%2817%29%29%2F2\"
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\n" ); document.write( "\"highlight%28x=0%2B-+sqrt%28%283%2B-+sqrt%2817%29%29%2F2%29%29\"-----this is four different values.\r
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\n" ); document.write( "\n" ); document.write( "You want to be sure that any y value you find corresponds to the proper x value. Go back to \"y=2%2Fx\", and find the y which corresponds with any individual chosen x.
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