SOLUTION: The sum of the squares of three consecutive integers is 77. Find the integers

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Question 1065183: The sum of the squares of three consecutive integers is 77. Find the integers
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
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Let the integers be n, n+1, and n+2.

n%5E2%2B%28n%2B1%29%5E2%2B%28n%2B2%29%5E2=77

.
3n%5E2%2B6n%2B5=77
cross%28n%5E2%2B2n-36=0%29
3n%5E2%2B6n-72=0
n%5E2%2B2n-24=0, factorable.

%28n-4%29%28n%2B6%29=0

system%28n=4%2COR%2Cn=-6%29

Answer by ikleyn(52795) About Me  (Show Source):
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.
4, 5 and 6.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the squares of three consecutive integers is 77. Find the integers
Integers: