Question 170625
two consecutive positive even integers we will call a and a+2
:
{{{a^2+(a+2)^2=340}}} distribute
:
{{{a^2+a^2+4a+4=340}}} combine a write as a quadratic 
:
{{{2a^2+4a-336=0}}} divide by 2
:
{{{a^2+2a-168=0}}}

{{{system(a=12,a=-14)}}}
throw out the negative value since we are looking for positive
so the integers are {{{system(12,14)}}}

*[invoke quadratic "a", 1, 2, -168]