document.write( "Question 67379This question is from textbook Advanced mathematics
\n" ); document.write( ": Write the quadratic equation witha lead coefficient of 1 whose roots are 3+2i and 3-2i. \n" ); document.write( "
Algebra.Com's Answer #47930 by ankor@dixie-net.com(22740)\"\" \"About 
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Write the quadratic equation with a lead coefficient of 1 whose roots are 3+2i and 3-2i.
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\n" ); document.write( "Sort of like completing the square backwards:
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\n" ); document.write( "x = 3 +/-2i
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\n" ); document.write( "Subtract 3 from both sides:
\n" ); document.write( "x - 3 = +/-2i
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\n" ); document.write( "Square both sides:
\n" ); document.write( "(x-3)^2 = (+/-2i)^2
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\n" ); document.write( "x^2 - 6x + 9 = 4(i^2)
\n" ); document.write( "x^2 - 6x + 9 = 4(-1)
\n" ); document.write( "x^2 - 6x + 9 = -4
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\n" ); document.write( "Add 4 to both sides:
\n" ); document.write( "x^2 - 6x + 9 + 4 = 0
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\n" ); document.write( "x^2 - 6x + 13 = 0 is the quadratic equation
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\n" ); document.write( "You can check it by actually completing square on this equation \n" ); document.write( "
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