SOLUTION: Therr consecutive odd integers are such that the square of the third integer is 15 greater than the sum of the squares of the first two. One solution is 1,3, and 5.Find three other

Question 660287: Therr consecutive odd integers are such that the square of the third integer is 15 greater than the sum of the squares of the first two. One solution is 1,3, and 5.Find three other consecutive odd integers that also satisfy the given conditions
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let x, x+2, and x+4 be the three consecutive odd integers. We are looking for x such that

Expanding

We can solve for x using the quadratic equation with a=1, b=-4, and c=3

so we have
or

For x = 1, we have the solution 1, 3, 5 which was given in the problem statement.
For x = 3, we have the second solution: 3, 5, 7.

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