SOLUTION: Find two consecutive even integers whose product is 34 more than their sum.

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Question 981082: Find two consecutive even integers whose product is 34 more than their sum.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x and x+2 are consecutive even integers
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x%2B%28x%2B2%29%2B34=x%28x%2B2%29
2x%2B36=x%5E2%2B2x
0=x%5E2-36
0=%28x%2B6%29%28x-6%29
x%2B6=0 OR x-6=0
x=-6 OR x=6
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CHECK:
For x=-6, x+2=-4:
-6+-4=((-6)(-4))-34
-10=24-34
-10=-10
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For x=6, x+2=8
6+8=((6)(8))-34
14=48-34
14=14
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Two sets of integers that meet the requirements are (-6,-4) and (6,8)