Respuesta :
we know that product if two negative integers is always positive .
so here we are going to solve with positive numbers and finally including a negative sign with that numbers .
let [tex] x [/tex] and [tex] x+1 [/tex]be the two consecutive integers
[tex] (x)*(x+1)=182 [/tex]
[tex] x^2+x=182 [/tex]
we need to solve this equation by quadratic formula.
[tex] a=1 b=1 c=-182 [/tex][tex] (x+14)*(x-13)=0 [/tex]
x=14 and x=13
if we include negative sign -14 and -13 will be the intergers.