document.write( "Question 584217: Find a quadratic equation with roots -1+4i and -1-4i \n" ); document.write( "
Algebra.Com's Answer #372862 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find a quadratic equation with roots -1+4i and -1-4i \n" ); document.write( ": \n" ); document.write( "x = -1 +/- 4i \n" ); document.write( "x + 1 = +/- 4i \n" ); document.write( "Square both sides \n" ); document.write( "(x+1)^2 = 16(i^2) \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 2x + 1 = -16 \n" ); document.write( "x^2 + 2x + 1 + 16 = 0 \n" ); document.write( "y = x^2 + 2x + 17 is the equation \n" ); document.write( " |