The sum of two positive numbers is 40 and their product is 175. The positive difference between them is:
30
Let the two numbers be \(x\) and \(y\) with \(x + y = 40\) and \(xy = 175\).
Using the identity \((x-y)^2 = (x+y)^2 - 4xy\):
\((x-y)^2 = 40^2 - 4 \times 175 = 1600 - 700 = 900\).
\(x - y = \sqrt{900} = 30\).
Hence, the positive difference between the two numbers is 30.
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