Problema Solution
The product of a positive even integer and the reciprocal of the next larger positive integer equals the reciprocal of the first integer. Find the integer if the number exceeds its square by -2.
Answer provided by our tutors
let
the positive even integer be 2x, where x is non negative integer
thus the next larger positive integer will be 2x + 1
the reciprocal of the next larger positive integer equals the reciprocal of the first integer
2x/(2x + 1) = 1/(2x)
by solving the equation we find 2 roots:
click here to see the step by step solution of the equation
x1 = 0.8 and x2 = -0.3
but x is integer thus the problem has no solutions.