Call the numbers x and y. Then, from the problem statement, x + y = 11 and xy = 36. From the first of these equations, x = 11 - y. Substituting this value into the second equation yields (11 - y)y = 36 or 11y - y2 = 36 or y2 - 11 y + 36 = 0. Use the quadratic equation formula to find y, then subtract that value from 11 to obtain x.
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