You can put this solution on YOUR website! 2 positive real numbers that differ by 1 and have a product of 1
:
Notice they didn't say that they were integers, just real, positive numbers.
:
Let one number = x; the other number = (x+1)
:
The product = 1
x(x+1) = 1
x^2 + x = 1
x^2 + x - 1 = 0; a quadratic equation
:
Use the quadratic formula: a = 1; b = 1; c = -1
:
:
:
:
and ; they only want the positive number for x
:
Check using decimals: = .618 rounded
.618(1.618) = .9999, close enough