What equation results from completing the square and then factoring x^2+16x =41 a. (x+8)^2 =57 b.(x+16)^2 =57 c. (x+8)^2 =105 d. (x+16)^2 =105

C

given x² + 16x = 41

to complete the square on this equation

since the coefficient of the x² term is 1

add (half the coefficient of the x-term )² to both sides

x² + 2(8)x + 64 = 41+ 64

(x + 8 )² = 105 → C