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

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

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Question 98170: find two positive real numbers that differ by 1 and have a product of 1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
ind two positive real numbers that differ by 1 and have a product of 1
:
The two numbers x, (x-1)
:
The product = 1
x(x-1) = 1
x^2 - x = 1
x^2 - x - 1 = 0, a quadratic equation, solve using formula
:

:

:
Two solutions

and

:
The two numbers, approx, +1.618 and +.618
or
The two numbers, approx, -.618 and -1.618

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