SOLUTION: Please help me solve this equation: What are the two consecutive even integers whose product is 168?

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Question 168259: Please help me solve this equation: What are the two consecutive even integers whose product is 168?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Consecutive Even Integers --->system%28x=1stEven%2Cx%2B2=2ndEven%2C168=product%29
Continuing,
%28x%29%28x%2B2%29=168,EQN 1:
Expand & Transpose
x%5E2%2B2x-168=0, factor out, perfect square
%28x%2B14%29%28x-12%29=0
2 values ----->system%28x=-14%2Chighlight%28x=12%29%29
Therefore:
x=12, 1st even number
12%2B2=highlight%2814%29, 2nd even number
Check Via EQN 1:
12%2A14=168
168=168
Thank you,
Jojo