Concept explainers
To find: The number whose sum of reciprocal of two consecutive even integers is
Answer to Problem 4P
The number is
Explanation of Solution
Given information:
The sum of reciprocal of two consecutive even integers is
Formula used:
We have to equate both left and right hand side.
And then we will use
Calculation:
Consider that the two consecutive even integers is
The sum of reciprocal is
Recall that we have to equate both left and right hand side of the equation
Therefore
We cross multiply the term
Therefore we have
Recall that we will use quadratic equation
Where
Therefore
Therefore the number is
Chapter 7 Solutions
Algebra: Structure And Method, Book 1
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