SOLUTION: the sum of the squares of two consecutive even numbers is 244.find the integers.

Question 36842: the sum of the squares of two consecutive even numbers is 244.find the integers.
Answer by vidhyak(98) (Show Source): You can put this solution on YOUR website!
Let the numbers be x , x+2
x^2 + (x+2)^2 = 244
x^2 + x^2 +4x +4 = 244
2x^2 +4x +4 = 244
2x^2 +4x -240 = 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=1936 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10, -12. Here's your graph:

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