the difference of two numbers is six and their product is 55
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Let one number be x.
The other number is x-6
Product of the number is 55
x(x-6) = 55
x² - 6x - 55 = 0
(x + 5)(x - 11) = 0
x = -5 or x = 11
x = -5
x - 6 = -11
x = 11
x - 6 = 5
Answer: The two numbers are either -5 and -11 or 5 and 11
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