To calculate: Three consecutive integers are such that the square of the greatest is 32 less than the sum of the squares of the other two. Find the integers.
Answer to Problem 2MS
-5, -4, -3 or 7, 8, 9
Explanation of Solution
Given information: square of the greatest is 32 less than the sum of the squares of the other two
Calculation: Let
It is given that square of the greatest is 32 less than the sum of the squares of the other two, so
If
and if
Conclusion: The required integers are -5, -4, -3 or 7, 8, 9
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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