The sum of all natural numbers x that make the value of the algebraic formula x2 + 11x + 1 an integer is______ ．

The sum of all natural numbers x that make the value of the algebraic formula x2 + 11x + 1 an integer is______ ．

∵ the original formula = x2 − 1 + 12x + 1 = X-1 + 12x + 1, ∵ so that the value of the algebraic formula x2 + 11x + 1 is all the natural numbers x of integers, which are 0, 1, 2, 3, 5 and 11 respectively, ∵ the sum of all the natural numbers x is 0 + 1 + 2 + 3 + 5 + 11 = 22

Who can help me to do a problem! Make the sum of all natural numbers x of the algebraic formula y = (x + 11) / (x + 1) an integer?

Y = (x + 11) / (x + 1) = (x + 2x + 1-2x-2 + 1 + 11) / (x + 1) = [(x + 1) - 2 (x + 1) + 12] / (x + 1) = x + 1-2 + 12 / (x + 1) when x = 1, 2, 3, 5, 11, the value is an integer, so 1 + 2 + 3 + 5 + 11 = 22

The sum of all natural numbers x that make the value of algebraic formula y = (x ^ 2 + 11) / (x + 1) an integer is ()

Y = (X & # 178; + 11) / (x + 1) = (X & # 178; + 2x + 1-2x-2 + 1 + 11) / (x + 1) = [(x + 1) & # 178; - 2 (x + 1) + 12] / (x + 1) = x + 1-2 + 12 / (x + 1) when x = 1, 2, 3, 5, 11, the value is an integer, so 1 + 2 + 3 + 5 + 11 = 22