Question 1197047
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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.      <U>ANSWER</U>
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Solved (mentally).