-4x2 -2x +12 = 0

ax2 bx c = 0

a = -4

b = -2

c = 12

Δ = b2-4ac

Δ = -2² - (4 * -4 * 12)

Δ = 4 - (4*-48)

Δ = 4 - (-192)

Δ = 196      Δ > 0

-4x2-2x+12=0

x = -b ∓ √Δ 2a

x' = 2 - √196 2*-4 = 2 - 14.0 -8 = -12.0 -8 = 1.5

x" = 2 + √196 2*-4 = 2 + 14.0 -8 = 16.0 -8 = -2.0

x' = 24.0

x" = -32.0

S = {x ∈ R / x' = 24.0, x" = -32.0 }