document.write( "Question 49269: find a quadratic equation with roots (4+i)and (4-i) \n" ); document.write( "
Algebra.Com's Answer #32670 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
if the roots are (4+i)and (4-i), then we can say that:\r
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\n" ); document.write( "\n" ); document.write( "x=(4+i) or x=(4-i)
\n" ); document.write( "hence
\n" ); document.write( "x-(4+i) = 0 or x-(4-i)=0\r
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\n" ); document.write( "\n" ); document.write( "Working backwards we then say
\n" ); document.write( "[x-(4+i)][x-(4-i)] = 0
\n" ); document.write( "(x-4-i)(x-4+i) = 0
\n" ); document.write( "\"+x%5E2-4x%2Bix-4x%2B16-4i-ix%2B4i-i%5E2+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2Bix%2B16-4i-ix%2B4i-i%5E2+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2B16-4i%2B4i-i%5E2+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2B16-i%5E2+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2B16-%28-1%29+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2B16%2B1+=+0+\"
\n" ); document.write( "\"+x%5E2-8x%2B17+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "there you go.\r
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\n" ); document.write( "\n" ); document.write( "jon.
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