Hi

Let x and (x+2)represent the two consecutive even integers

Question States***

 x(x+2) = x + (x+2)+34

solving for x

 x^2 + 2x = 2x + 36

 x^2 -36 = 0

    x^2 = 36

     x = ± 6  

     x = -6  the two consecutive even integers ar -6,-4

     x = 6  the two consecutive even integers ar 6,8



CHECKING our Answer(s)

 6*8 = 14 + 34

 (-6)(-4) = 24 = -10 + 34 

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