Detailed explanation and options for the selected question.
If the sum of the squares of two consecutive positive integers is 365, what are the integers?
A.
12 and 13
B.
13 and 14
C.
14 and 15
D.
15 and 16
Explanation:
Let the integers be x and x+1. Then, x^2 + (x+1)^2 = 365. Solving gives x = 14, so the integers are 14 and 15. Other options do not satisfy the equation.
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