document.write( "Question 216530: Find a Quadratic equation with roots of (4+i) and (4-i)? \n" ); document.write( "
Algebra.Com's Answer #163485 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find a Quadratic equation with roots of (4+i) and (4-i)? \n" ); document.write( "---------------- \n" ); document.write( "Rewrite: \n" ); document.write( "y = (x-(x+i))(x-(x-i)) \n" ); document.write( "------------------ \n" ); document.write( "y = ((x-4)-i)((x-4)+i) \n" ); document.write( "-- \n" ); document.write( "Notice this has the form (a-b)(a+b) \n" ); document.write( "--- \n" ); document.write( "y = [(x-4)^2 - (i)^2] \n" ); document.write( "--- \n" ); document.write( "y = [x^2-8x+16+1] \n" ); document.write( "--- \n" ); document.write( "y = x^2-8x+17 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |