The sum of two positive numbers is 77 and their product is 1392. The positive difference between them is:
19
Let the two numbers be \(a\) and \(b\) with \(a + b = 77\) and \(ab = 1392\).
Use the identity \((a - b)^2 = (a + b)^2 - 4ab\).
Substitute: \((a - b)^2 = 77^2 - 4 \times 1392 = 5929 - 5568 = 361\).
Taking the positive square root, \(a - b = \sqrt{361} = 19\).
Hence, the positive difference between the two numbers is \(19\).
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