document.write( "Question 313486: Find an equation that has the given solutions:\r
\n" ); document.write( "\n" ); document.write( "X=-2i and X=-3i\r
\n" ); document.write( "\n" ); document.write( "How do I proceed?
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Algebra.Com's Answer #224139 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Complex roots only come in complex conjugate pairs.
\n" ); document.write( "So if \"x=-2i\" is a root so is \"x=2i\".
\n" ); document.write( "Same for \"x=-3i\".
\n" ); document.write( "So the equation looks like,
\n" ); document.write( "\"f%28x%29=A%28x-2i%29%28x%2B2i%29%28x-3i%29%28x%2B3i%29\" where A is any non-zero constant.
\n" ); document.write( "\"f%28x%29=A%28x%5E2%2B2ix-2ix-4i%5E2%29%28x%5E2%2B3ix-3ix-9i%5E2%29\"
\n" ); document.write( "\"f%28x%29=A%28x%5E2%2B4%29%28x%5E2%2B9%29\"
\n" ); document.write( "\"f%28x%29=A%28%28x%5E2%2B4%29x%5E2%2B%28x%5E2%2B4%299%29\"
\n" ); document.write( "\"f%28x%29=A%28%28x%5E4%2B4x%5E2%29%2B%289x%5E2%2B36%29%29\"
\n" ); document.write( "\"f%28x%29=A%28x%5E4%2B13x%5E2%2B36%29\"
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