The two positive numbers whose difference is 8 and whose product is 713 is 23 and 31
Let x and y represent the positive numbers.
Their difference is 8, hence:
x - y = 8
x = 8 + y (1)
There product is 713, hence:
xy = 713
x(8 + y) = 713
y² + 8y = 713
y² + 8y - 713 = 0
y = 23 or -31
Since y is a positive number, hence y = 23
x = 8 + y = 8 + 23 = 31
The two positive numbers whose difference is 8 and whose product is 713 is 23 and 31
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