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 122302: Find two positive real numbers that differ by 1 and have a product of 1.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's call the first number A.
Let's call the second number B.
1. Differ by 1.
2. Product equals 1.
Use B as a function of A of equation 1 in equation 2.

Using the quadratic formula,

Since , we only have one solution.

Approximately,
A=1.618
B=0.618
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