Answer:
The two numbers are -14, -13
Step-by-step explanation:
Let one number be -x
Since other number is consecutive then it should be -x+1.
It is given that their product is 182.
then
-x*(-x+1) = 182
=> x^2 -x = 182
==> x^2 -x -182 = 0
solving for x
[tex]x^2 -x - 182 = 0\\=> x^2 + 14x - 13x - 182 = 0\\=>x(x+14) -13(x+14)\\=>(x+14) (x-13) = 0\\x+14 = 0 \ or \ x-13 = 0\\x = -14 \ or \ x = 13[/tex]
Given that the numbers are negative then 13 can not be value of x
Thus x = -14
other number = -x+1 = 14+1 = -13.
Please mark it the brainliest.
