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Let the first number be x, so the other will be 22 - x. So we have:
x(22 - x) = 60
-x2 + 22x = 60
-(x2 - 22x) = 60
x2 - 22x = -60
x2 - 22x + 112= 112 - 60
(x - 11)2 = 61
x - 11 = ±√61
x = 11 ± √61
x = 11 + √61 or x = 11 - √61
if x = 11 + √61, the other number is 11 - √61 because 22 - (11 + √61) = 22 - 11 - √61
if x = 11 - √61, the other number is 11 + √61 because 22 - (11 - √61) = 22 - 11 + √61
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