document.write( "Question 681837: the question states given -5i is a root, determine all other roots f(x)= \n" ); document.write( "
Algebra.Com's Answer #423100 by ReadingBoosters(3246)\"\" \"About 
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x = -5i
\n" ); document.write( "There will also be +5i as the conjugate pair
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2+=+%285i%29%5E2\"
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2+=+25i%5E2\"
\n" ); document.write( "where \"i%5E2+=+sqrt%28-1%29%5E2+=+-1\"
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2+=+25%28-1%29\"
\n" ); document.write( "..
\n" ); document.write( "\"x%5E2+=+-25\"
\n" ); document.write( "\"x%5E2+%2B+25+=+0\"
\n" ); document.write( "...
\n" ); document.write( "\"%28x%5E3%2B5x%5E2%2B25x%2B125%29%2F%28x%5E2%2B25%29\"
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2%2B25%29+goes+into+%7B%7B%7Bx%5E3+%2B5x%5E2\": x
\n" ); document.write( "to get
\n" ); document.write( "\"x%5E3+%2B+25x\"
\n" ); document.write( "subtracting
\n" ); document.write( "\"x%5E3+-+x%5E3+%2B+5x%5E2+-+25x\"
\n" ); document.write( "yielding
\n" ); document.write( "\"5x%5E2+-+25x\"
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2%2B25\" goes into \"5x%5E2-25x%2B25x\": 5
\n" ); document.write( "to get
\n" ); document.write( "\"5x%5E2%2B125\"
\n" ); document.write( "subtracting
\n" ); document.write( "\"5x%5E2+-+5x%5E2+-+125\"
\n" ); document.write( "yielding
\n" ); document.write( "-125
\n" ); document.write( "...
\n" ); document.write( "\"x%5E2%2B25\" goes into \"-125%2B125\": 0
\n" ); document.write( "...
\n" ); document.write( "\"%28x%5E3%2B5x%5E2%2B25x%2B125%29%2F%28x%5E2%2B25%29+=+%28x%2B5%29\"
\n" ); document.write( "Therefore, the factors are
\n" ); document.write( "\"%28x%5E2%2B25%29%28x%2B5%29\"=0
\n" ); document.write( "………………………
\n" ); document.write( "Do you have more questions?
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