SOLUTION: I’m thinking of going four consecutive integers. The sum of the squares of the second and fourth is 244. Find the 4 integers

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Question 1174626: I’m thinking of going four consecutive integers. The sum of the squares of the second and fourth is 244. Find the 4 integers
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


x-1, x, x+1, and x+2 are the integers



x%5E2+%2B+%28x%2B1%29%5E2+=+244+

+x%5E2+%2B+%28x%5E2%2B4x%2B4%29+=+244

+2x%5E2+%2B+4x+-+240+=+0+

+x%5E2+%2B2x+-+120+=+0+

+%28x%2B12%29%28x-10%29+=+0+



x = 10  ==>  the four integers are 9,10,11,and 12



But what about the 2nd solution, x = -12?



x = -12 ==>  the four integers are -13,-12,-11, and -10  (this is also a solution)