SOLUTION: Solve by using a quadratic equation to find three consecutive integers such that the sum of their squares is 1877.
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Question 416350: Solve by using a quadratic equation to find three consecutive integers such that the sum of their squares is 1877.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let the consecutive integers be n, n+1, and n+2
We have
Multiplying terms gives
Collecting like terms and putting in the proper form gives
Applying the quadratic formula we get
->
This gives n = -26, 24
So one set of consecutive integers is 24,25,26 and the other is -26,-25,-24
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