SOLUTION: Find two positive real numbers that differ by 1 and have a product of 1.

Question 4188: Find two positive real numbers that differ by 1 and have a product of 1.

Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Let first number be x. Therefore second number must be x+1.

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

so we get

Put this into the quadratic formula, since it does not factorise easily and you get x= or x=

Since the question says the numbers are positive, then the answer is x=.

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.

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