document.write( "Question 1024341: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+4i and 1-4i. -- I got part of it I believe, but got stuck. An explanation of how to completely solve would be great, thank you :) \n" ); document.write( "
Algebra.Com's Answer #639781 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "Write the quadratic equation with a lead coefficient of 1 whose roots are 1+4i and 1-4i. -- I got part of it I believe, but got stuck. An explanation of how to completely solve would be great, thank you :)
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document.write( "The quadratic polynomial is (x - (1+4i))*(x - (1-4i)).\r\n" );
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document.write( "You can transform it further\r\n" );
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document.write( "= ((x-1) -4i)*((x-1) +4i) = \"%28x-1%29%5E2+-16%2A%28i%5E2%29\" = \"x%5E2+-+2x+%2B+1+%2B+16\" = \"x%5E2+-+2x+%2B+17\".\r\n" );
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