SOLUTION: Please help me with this question. Find two consecutive even whole numbers whose product is 224. Thank you Taylor

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Please help me with this question. Find two consecutive even whole numbers whose product is 224. Thank you Taylor      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 162315: Please help me with this question.
Find two consecutive even whole numbers whose product is 224.
Thank you
Taylor
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Find two consecutive even whole numbers whose product is 224.

x=1stwholenumber
x%2B2=2ndwholenumber
Continuing,
x%2A%28x%2B2%29=224, EQN 1
x%5E2%2B2x=224
x%5E2%2B2x-224=0
%28x%2B16%29%28x-14%29=0
2 values ---system%28x=-16%2Cx=14%29
USE, x=14, 1st even whole number
14%2B2=16, 2nd even whole number
Go back EQN 1,
14%2A%2814%2B2%29=224
14%2A16=224, product of consecutive even whole numbers
224=224
Thank you,
Jojo