SOLUTION: If the product of two consecutive positive even integers is equal to 168, then what are the integers. Please give details step by step that way I can figure it out how to do it.

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Question 939607: If the product of two consecutive positive even integers is equal to 168, then what are the integers.
Please give details step by step that way I can figure it out how to do it.
Thank you
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
1. Write the numbers symbolically.
2. Form the equation for the description.
3. Solve the equation.

2n and 2n+2 for n any natural number.

%282n%29%282n%2B2%29=168

2%2A2%28n%28n%2B1%29%29=168

n%28n%2B1%29=42

n%5E2%2Bn-42=0

%28n-6%29%28n%2B7%29=0

highlight%28n=6%29, and n%3C%3E-7 according to the description.

The numbers are 12 and 14.