the 3 consecutive whole number can be written as:

x-1, x, x+1, where x is whole

(x - 1)^2 + x^2 + (x + 1)^2 = 149

by solving we find:

x1 = 7

x2 = -7

click here to see the step by step solution of the equation:

7 - 1 = 6

7 + 1 = 8

one solution is: the numbers are 6, 7 and 8

-7 + 1 = - 6

-7 - 1 = - 8

second solution is: the numbers are -6, -7 and -8.