Question 170485
we are looking for 2 consecutive odd integers that are also positive.  Lets call them a and a+2. 

{{{a^2=3(a+2)+4}}}distribute and combine
:
{{{a^2=3a+10}}}
:
{{{a^2-3a-10=0}}} factor
:
{{{(a-5)(a+2)=0}}}
:
a=5 and -2 but we can throw out the negative so a=5 
:
integers are {{{a=5}}}and{{{a+2=7}}}