SOLUTION: 1. Jason says that "the sum of the squares of three consecutive integers is 112." Is this possible? If so, find the value of the integers. If not, explain mathematically. I don

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Question 872800: 1. Jason says that "the sum of the squares of three consecutive integers is 112." Is this possible? If so, find the value of the integers. If not, explain mathematically.
I don't understand how I would set up the problem.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
x^2 + (x+1)^2 + (x+2)^2 = 112
x^2 +x^2+2x+1 + x^2+4x+4 = 112
3x^2 + 6x - 107 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1320 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.05530070819498, -7.05530070819498. Here's your graph:
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