Question

2. The product of two consecutive even numbers is 168. What are the numbers? ​

Answer 1

12 & 14

Explanation:

the work: x = first even number, (x+2) = second even number

The equation

`x(x+2)=168`

`x^(2) +2x=168`

`x^(2) +2x-168=0`

Factoring

`(x-12)(x+14)=0`

first factor

`x-12=0\\x=12`

Second factor

`x+14=0\\x=-14`

The solution is the positive number

x = 12 is the first even number

x + 2 = 12 + 2 = 14 is the second even number

Hope this helps

Answer 2

12 and 14

Explanation:

12 * 14 = 168