Two consecutive negative integers have a product of 30. what are the integers?

The two numbers are - 4 and - 5.

We have two sets of numbers

-6,-5 5,6

Step-by-step explanation:

Consecutive integers are next to each other

x, x+1

Product means multiply

x (x+1) = 30

Distribute

x^2 + x=30

Subtract 30 from each side

x^2 + x-30 = 30-30

x^2+x-30 = 0

Factor

What 2 numbers multiply to give us - 30 and add to 1

6 * - 5 = - 30

6-5 = - 1

(x+6) (x-5) = 0

Using the zero product property

x+6=0 x-5=0

x=-6 x=5

x+1 is the next number

-6,-5 5,6

We have two sets of numbers

-6,-5 5,6