The sum of the squares of three consecutive whole numbers is 77. Form a quadratic equation and hence solve it to determine the numbers. (Hint: let the three consecutive numbers be x, x+1 and x+2)

Answer 1

x^2 + (x+1)^2 + (x+2)^2=77

expand all of these, collect terms,
and solve.

Answer 2

4, 5, 6