Question 353647

Let integers are x, x+2, x+4 


(x+4)^2 = x^2 + (x+2)^2 - 105 

=> x^2 + 8x + 16 = x^2 + x^2 + 4x + 4 - 105

=> x^2 - 4x - 117 = 0

=> x^2 -13x + 9x -117 = 0

=> x(x-13) + 9( x-13) = 0

=> ( x+9) (x-13) = 0


x = -9  or  x = 13

other consecutive integers are  13, 15, 17.