1) Let's complete the square to solve x² -16x -8, step by step
x²-16x-8 =0 Dividing 16 by 2 we have 8, so let's make it (x-8)²
x² -16 =8
x²-2(8)x +64 = 8+64 To keep it balanced write 8² on the right side too
(x -8)² = 72 Leave the binomial on the left side
√(x-8)²=√72
x-8 =6√2 and x -8= -6√2
x_1=6√2+8
x_2 = -6√2+8
S ={6√2+8, -6√2+8)