To prepare for the applications to follow later, work the following basic problems which lead to quadratic equations.
Unknown Numbers In Exercise use the following facts:
If x represents an integer, then x + 1 represents the next consecutive integer.
If x represents an even integer, then x + 2 represents the next consecutive even integer.
If x represents an odd integer, then x + 2 represents the next consecutive odd integer.
The sum of the squares of two consecutive integers is 61. Find the integers.
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