Question

The product of two consecutive even numbers is 12 more than the square of the smaller number.

Answer 1

Answer:

6 and 8

Step-by-step explanation:

Let's start off by thinking at what the question is asking us.

The product (multiplication) of two even numbers (x)(x+2) is which means =,

12 more (12) than the square of the smaller number (x).

So put that all together and you get (x)(x+2)=12+x^2=

Distribute the x, (x)(x+2)=

x^2+2x=x^2+12 Subtract x^2 from both sides.

2x=12

Divide both sides by 2 and you get x=6

So the two numbers are 6,8

6(8)=12+6^2

48=48