11. Consecutive integers are whole numbers that follow each other.
For example: 5, 6, and 7 are consecutive integers where
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5 is the first integer
6 is the second consecutive integer
7 is the third consecutive integer
If the sum of the squares of the first and third of three positive consecutive integers is 130, what
are the first and third consecutive integers? Set up a quadratic equation to represent the
information and use the equation to determine the two integers. (2 marks)