Concept explainers
To find the two positive numbers that differ by 8 and their reciprocal differ by
Answer to Problem 1P
Two numbers are 4 and 12.
Explanation of Solution
Given:
Two positive numbers that differ by 8 and their reciprocal differ by
Calculation:
Let the one number be x . Then, the other number must be
Their reciprocals differ by
Now, solve the equation
Since x is positive, the only value is
Therefore, the two numbers are 4 and 12.
Chapter 5 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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