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)\"\" \"About 
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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
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