-12x2 -8x +20 = 0

ax2 bx c = 0

a = -12

b = -8

c = 20

Δ = b2-4ac

Δ = -8² - (4 * -12 * 20)

Δ = 64 - (4*-240)

Δ = 64 - (-960)

Δ = 1024      Δ > 0

-12x2-8x+20=0

x = -b ∓ √Δ 2a

x' = 8 - √1024 2*-12 = 8 - 32.0 -24 = -24.0 -24 = 1.0

x" = 8 + √1024 2*-12 = 8 + 32.0 -24 = 40.0 -24 = -1.66666666667

x' = 144.0

x" = -240.0

S = {x ∈ R / x' = 144.0, x" = -240.0 }