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Question 135594:  find two consecutive even numbers whose product is 288 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! find two consecutive even numbers whose product is 288 
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Even numbers are always a multiple of two: 
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1st: 2x 
2nd: 2x+2 
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EQUATION: 
2x*(2x+2)= 288 
4x^2+4x-288 = 0 
x^2+x-72 = 0 
(x+9)(x-8)=0 
x=-9 or x=8 
2x=-18 or 2x=16 
2x+2=-16 or 2x+2=18 
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Answers: 
-18 and -16 
OR 
16 and 18 
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Cheers, 
Stan H. 
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