Question 4188
Let first number be x. Therefore second number must be x+1.


Their product is 1 --> x(x+1) = 1


so we get {{{x^2 + x - 1 = 0}}}


Put this into the quadratic formula, since it does not factorise easily and you get x={{{(-1+sqrt(5))/2}}} or x={{{(-1-sqrt(5))/2}}}


Since the question says the numbers are positive, then the answer is x={{{(-1+sqrt(5))/2}}}.


Working this out, gives x=0.618


CHECK: 0.618*1.618 = 0.999924, which is close enough, since we rounded the actual answer to 3 decimal places.


jon.