Question 25567
two consecutive integers: like 5,6 or 123,124.


Algebraically we would have x and x+1 as the two numbers.


So, {{{x^2 + (x+1)^2 = 130}}} is the equation.


Expand the bracket, collect terms, simplify, factorise and get 1 or 2 answers for x.


trouble is....the solutions are not integers, so either you made up the Q or mis-wrote it.


Anyway, the method is correct


jon.