SOLUTION: The product of 2 consecutive even integers is 28 more than 5 times the smaller number. Find the 2 numbers (they are positive).

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Question 519624: The product of 2 consecutive even integers is 28 more than 5 times the smaller number. Find the 2 numbers (they are positive).

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Two consecutive even numbers can be defined as:
x
x+2
.
x*(x+2) = 5*x +28
.
x^2 +2x =5x + 28
.
x^2 -3x -28 = 0
.
factor
.
(x-7)(x+4) = 0
.
x = 7 or x = -4
.
So, there are no two consecutive even integers whose product is 28 more than 5 times the smaller.
.
Done.