The sum of two positive numbers is 35 and their product is 286. The positive difference between them is:
9
Let the two numbers be \(a\) and \(b\), with \(a + b = 35\) and \(ab = 286\).
Use the identity \((a - b)^2 = (a + b)^2 - 4ab\).
Substitute the values: \((a - b)^2 = 35^2 - 4 \times 286 = 1225 - 1144 = 81\).
Take the positive square root: \(a - b = \sqrt{81} = 9\).
Hence, the positive difference between the numbers is 9.
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