The sum of two positive numbers is 13 and their product is 30. The positive difference between them is:
7
Let the numbers be a and b, with \(a+b=13\) and \(ab=30\).
Using \((a-b)^2 = (a+b)^2-4ab = 169-120 = 49\).
\(a-b = \sqrt{49} = 7\).
Hence, the positive difference between the two numbers is 7.
The sum of two positive numbers is 14 and their product is 45. The positive difference between them is:
The sum of two positive numbers is 35 and their product is 286. The positive difference between them is:
For what values of k, the roots of 9x 2 + 8kx + 16 = 0 are real and equal?
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Number of real roots of the quadratic equation 3x 2+ 4x + 25 = 0 is