Respuesta :
Hey there!
One way to do this is find all the factors of 6 and then see which pair fit the requirements.
The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)
You can find them by asking if each number can go into 6.
1, 2, 3, and 6 all go into 6, while 4 and 5 do not.
The requirements we have is that they must be consecutive and have a product of 6.
Consecutive means right after one another.
The only numbers that fit this are 2 and 3.
2 x 3 = 6
Hope this helps!
Answer:
2,3
Step-by-step explanation:
Consecutive means in a row, so x and x+1
x(x+1) = 6
Distribute
x^2 +x = 6
Subtract 6 from each side
x^2 +x - 6 =0
Factor
(x+3) (x-2) =0
Using the zero product property
x=-3, x=2
We only want positive integers
x=2
x+1 =3