Problema Solution
find three consecutive integers such that the square of the largest exceeds the sum of the squares of the other two by 12?
Answer provided by our tutors
Let the three consecutive integer
I think it is of even integers. If so
Let the consecutive even integers are x, x+2,x+4.
(x+4)^2=x^2+(x+2)^2+12.
x^2+4x+16=x^2+x^2+4x+4+12.
x^2+8x+4=2x^2+4x+16.
2x^2+4x+16-x^2-8x-16=0.
x^2-4x=0.
x(x-4)=0.
x=0,x=4.
Take x=4.
The three consecutive even integers are 4,6,8.