Question

The product of two consecutive positive even integers is 80. Find the integers

Answer 1

Greetings!

We can create an equation for this:

`(x)(x+2)=80`
Distribute the Parenthesis.

`x^2+2x=80`
Add -80 to both sides.

`(x^2+2x)+(-80)=80+(-80)`

`x^2+2x-80=0`
Factor the Simple Trinomial.

`x^2+10x-8x-80=0`
Factor by Grouping.

`x(x+10)-8(x+10)=0`
Factor the GCF.

`(x+10)(x-8)=0`
The Answer Is:

`(x+10)=0 \\ (x-8)=0`

`x=-10 \\ x=8`

Either:
-10,-8 or 8,10
Can be the solution in this answer.

Hope this helps.
-Benjamin