Question

Find three consecutive even integers such that the square of the largest exceeds the sum of the squares of the other two by 12

Answer 1

x,x+2,x-4...

Answer 2

let the numbers be x, x+2 and x+4

so,

(x+4)^2 - ( x^2 + (x+2)^2 ) =12

Solving, you get

x^2 = 4x

So x= 0 OR x = 4

So the numbers are 0,2,4 OR 4,6,8