-1x2 -4x +12 = 0

ax2 bx c = 0

a = -1

b = -4

c = 12

Δ = b2-4ac

Δ = -4² - (4 * -1 * 12)

Δ = 16 - (4*-12)

Δ = 16 - (-48)

Δ = 64      Δ > 0

-x2-4x+12=0

x = -b ∓ √Δ 2a

x' = 4 - √64 2*-1 = 4 - 8.0 -2 = -4.0 -2 = 2.0

x" = 4 + √64 2*-1 = 4 + 8.0 -2 = 12.0 -2 = -6.0

x' = 2.0

x" = -6.0

S = {x ∈ R / x' = 2.0, x" = -6.0 }