Question

The product of two consecutive, negative integers is 182.

What equation represents the situation?

Answer 1

`n(n+1)=182` where
`n<-1`

Answer 2

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.