SOLUTION: find two consecutive even numbers such that the difference of their squares is 44. the answer is 10 and 12 but i need to show the work on how to come to the answer..

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Question 159801: find two consecutive even numbers such that the difference of their squares is 44. the answer is 10 and 12 but i need to show the work on how to come to the answer..
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

x=1stEven
x%2B2=2ndEven
Condition 1:
%28x%2B2%29%5E2-x%5E2=44, oks
x%5E2%2B4x%2B4-x%5E2=44 --> cross%28x%5E2%29%2B4x%2B4-cross%28x%5E2%29=44
4x=44-4=40
cross%284%29x%2Fcross%284%29=cross%2840%2910%2Fcross%284%29
x=10 ----------------------------> 1st Even number
10%2B2=12 -------------------------> 2nd even number
Go back condition 1 to check:
12%5E2-10%5E2=44
144-100=44
44=44
Thank you,
Jojo