S={-6,8}
1) Let's solve this quadratic equation
y = x² - 2x - 48 Turn that into an equation
x²-2x -48 =0 Factoring since a =1
2) Which are those two numbers whose sum is equal to -2 and their product is -48?
-8 +6 = -2
-8 x 6 = -48
x²-2x -48 =0
(x-8)(x+6)=0
Solving each factor, we have the roots:
x -8 =0 ⇒ x = 8
x +6 = 0 ⇒ x = -6
3) Hence, the roots of this quadratic equation is
S={-6,8}