Question

The product of two consecutive, negative integers is 182.

Answer 1

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 $x$ and $x+1$be the two consecutive integers

$(x)*(x+1)=182$

$x^2+x=182$

we need to solve this equation by quadratic formula.

$a=1 b=1 c=-182$$(x+14)*(x-13)=0$

x=14 and x=13

if we include negative sign -14 and -13 will be the intergers.

Answer 2

$n(n+1)=182$ where $n$