The sum of two positive numbers is 30 and their product is 176. The positive difference between them is:
14
Let the two numbers be \(a\) and \(b\) with \(a + b = 30\) and \(ab = 176\).
Use the identity \((a - b)^2 = (a + b)^2 - 4ab\).
Substitute the values: \((a - b)^2 = 30^2 - 4 \times 176 = 900 - 704 = 196\).
Take the positive square root: \(a - b = \sqrt{196} = 14\).
Hence, the positive difference between the two numbers is 14.
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