You can put this solution on YOUR website! Write the quadratic equation with a lead coefficient of 1 whose roots are 3+2i and 3-2i.
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Sort of like completing the square backwards:
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x = 3 +/-2i
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Subtract 3 from both sides:
x - 3 = +/-2i
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Square both sides:
(x-3)^2 = (+/-2i)^2
:
x^2 - 6x + 9 = 4(i^2)
x^2 - 6x + 9 = 4(-1)
x^2 - 6x + 9 = -4
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Add 4 to both sides:
x^2 - 6x + 9 + 4 = 0
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x^2 - 6x + 13 = 0 is the quadratic equation
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You can check it by actually completing square on this equation
