SOLUTION: 1.find three consecutive integers such that the sum of their squares is 77

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Question 103390: 1.find three consecutive integers such that the sum of their squares is 77
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B%28x%2B1%29%5E2%2B%28x%2B2%29%5E2=77
x%5E2%2B%28x%5E2%2B2x%2B1%29%2B%28x%5E2%2B4x%2B4%29=77
3x%5E2%2B6x%2B5=77
3x%5E2%2B6x-72=0
x%5E2%2B2x-24=0
x%2B6%29%28x-4%29=0
x=-6 or x=4
Your three consecutive integers are -6,-5,-4 or 4,5,6.
Let's verify.
4%5E2%2B5%5E2%2B6%5E2=77
16%2B25%2B36=77
77=77
Good answer.