-6x2 -20x +16 = 0

ax2 bx c = 0

a = -6

b = -20

c = 16

Δ = b2-4ac

Δ = -20² - (4 * -6 * 16)

Δ = 400 - (4*-96)

Δ = 400 - (-384)

Δ = 784      Δ > 0

-6x2-20x+16=0

x = -b ∓ √Δ 2a

x' = 20 - √784 2*-6 = 20 - 28.0 -12 = -8.0 -12 = 0.666666666667

x" = 20 + √784 2*-6 = 20 + 28.0 -12 = 48.0 -12 = -4.0

x' = 24.0

x" = -144.0

S = {x ∈ R / x' = 24.0, x" = -144.0 }