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Chapter 9: Q. 228E (page 920)

Make up a problem involving the product of two consecutive even integers.

鈸� Start by choosing two consecutive even integers. What are your integers?

鈸� What is the product of your integers?

鈸� Solve the equation n(n + 2) = p, where p is the product you found in part (b).

鈸� Did you get the numbers you started with?

Short Answer

Expert verified
  • 鈸� 2 and 4 are our chosen integers.
  • 鈸� 8 is the product of our chosen integers
  • 鈸� Solution of equationn(n+2)=8isn=-4andn=2
  • 鈸� No, We don't get the numbers we started with.

Step by step solution

01

Part (a) Step 1. Solution of 鈸� 

We have to choose two consecutive odd integers.

So we choose 2 and 4

02

Part (b) Step 1. Solution of 鈸�  

We want to know what is the product of our chosen integers.

So we have2脳4=8

03

Part (c) Step 1. Solution of 鈸�

Now we have to Solve the equation n(n+2)=p, where p is the product we found in step 2.

So equation become n(n+2)=8

We have to solve it:

n(n+2)=8n2+2n-8=0(n+4)(n-2)=0n=-4;n=2

04

Part (d) Step 1. Solution of 鈸�

We want to know Did we get the numbers we started with.

We observe that we get n=-4andn=2

But we started with 2 and 4.

Therefore We don't get the numbers we started with.

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