We can use the values of x from the previous equation to evaluate x^3 - 3x^2 + x - 7:
When x = 1 + √2:
x^3 - 3x^2 + x - 7 = (1 + √2)^3 - 3(1 + √2)^2 + (1 + √2) - 7
= 4√2 - 6
When x = 1 - √2:
x^3 - 3x^2 + x - 7 = (1 - √2)^3 - 3(1 - √2)^2 + (1 - √2) - 7
= -4√2 - 6
Therefore, x^3 - 3x^2 + x - 7 = 4√2 - 6 or -4√2 - 6, depending on which value of x is used.