SOLUTION: Find two consecutive positive integers wherein the sum of their squares is 145.

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Question 1197047: Find two consecutive positive integers wherein the sum of their squares is 145.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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It can be solved formally using quadratic equation.  The setup is obvious.


Or it can be solved mentally:  divide  145  by  2  to get  72.5.


Therefore, the squares of two consecutive integer should be 64 and 81.

Indeed, 64 + 81 = 145.


Thus the integers are  8 and 9.      ANSWER

Solved (mentally).