Question

the sum of the squares of 3 consecutive integers is 77. find them.

Answer 1

By observation, I get \(4,5,6\). But if you have to show your work, solve \(x^2 + (x + 1)^2 + (x + 2)^2 = 77\) and use the integer solution.

Answer 2

so then what would the next step be ?

Answer 3

expand and collect like terms.