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There are none because when the given numbers are converted into a quadratic equation its discriminant is less than zero and so therefore there are no solutions.

If the 2 numbers when multiplied equals -45 then the number are:-

(3+square root of 54) and (3-square root of 54)

Check: (3+sq rt 54)+(3-sq rt 54) = 6

Check: (3+sq rt 54)*(3-sq rt 54) = -45

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