Answer:
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
