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  • 04-04-2018
  • Mathematics
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the product of two consecutive even integers is 224? find their sum

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Аноним Аноним
  • 04-04-2018
Let the smaller number be x. 
The other number is x+2.

x(x+2) = 224
x² + 2x - 224 = 0
(x +16)(x - 14) = 0
x = -16 or x = 14

When x = -16
x + 2 = -14
Sum of the numbers = -16 - 14  = 20

When x = 14
x + 2 =16
Sum of the numbers = 14 + 16 = 20

The two numbers can be -14 and -16 and their sum is -20, or they can be 14 and 16 and their sum is 20.


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