15 out of 56 is the reciprocal of which two adjacent natural numbers

15 out of 56 is the reciprocal of which two adjacent natural numbers

Let X and X + 1
Then 1 / x + 1 / x + 1 = [x + (x + 1)] / X * (x + 1) = (2x + 1) / (x ^ 2 + x)
So 2x + 1 = 15
x^2+x=56
The solution is x = 7, x = - 8
x+1=8
So it's seven and eight

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