- #1
curiouschris
- 147
- 0
Not homework but given the question it probably fits here best
Given the following equation
$$x^2+138x+317=y^2$$
How do you find the integer solutions?
For example wolframalpha has the solutions. but I cannot see how they are derived
http://www.wolframalpha.com/input/?i=x^2+138x+317=y^2
By completing the squares and setting [itex]y[/itex] to [itex]0[/itex] I get the x intercepts
$$x^2+138x+317=y^2$$ ... $$x+69=+/-sqrt(4444)$$ $$x=-69+/-sqrt(4444)= -2.34\ or\ -135.66$$
But I don't understand how to take it further!
How do I calculate the integer solutions that WolframAlpha shows?
Given the following equation
$$x^2+138x+317=y^2$$
How do you find the integer solutions?
For example wolframalpha has the solutions. but I cannot see how they are derived
http://www.wolframalpha.com/input/?i=x^2+138x+317=y^2
By completing the squares and setting [itex]y[/itex] to [itex]0[/itex] I get the x intercepts
$$x^2+138x+317=y^2$$ ... $$x+69=+/-sqrt(4444)$$ $$x=-69+/-sqrt(4444)= -2.34\ or\ -135.66$$
But I don't understand how to take it further!
How do I calculate the integer solutions that WolframAlpha shows?