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

Find the two numbers.

User ScottyG
by
4.6k points

1 Answer

2 votes

Answer:

6 and 8

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

User Camford
by
5.2k points
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