SOLUTION: Find three consecutive integers where the sum of the first two equals the square of the third minus 146.

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Question 149570: Find three consecutive integers where the sum of the first two equals the square of the third minus 146.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
We'll define three consecutive integers A,B,C



Now add the conditions,

Substitute for values and solve for N.



You can factor this quadratic equation,

First factor solution:


A=-13
B=-12
C=-11
.
.
.
Second factor solution:


A=11
B=12
C=13

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