document.write( "Question 116013: Find a quadratic equation with roots (4 + i) and (4 - i). \n" ); document.write( "

Algebra.Com's Answer #84453 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find a quadratic equation with roots (4 + i) and (4 - i).
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\n" ); document.write( "It's kind of like the completing the square in reverse:
\n" ); document.write( "x = 4 +/-i
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\n" ); document.write( "x - 4 = +/i
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\n" ); document.write( "(x-4)^2 = i^2
\n" ); document.write( "which is
\n" ); document.write( "(x+4)^2 = -1
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\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 8x + 16 = -1
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\n" ); document.write( "x^2 - 8x + 16 + 1 = 0
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\n" ); document.write( "x^2 - 8x + 17 = 0 is the quadratic equation \n" ); document.write( "

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