-6x2 -19x +20 = 0

ax2 bx c = 0

a = -6

b = -19

c = 20

Δ = b2-4ac

Δ = -19² - (4 * -6 * 20)

Δ = 361 - (4*-120)

Δ = 361 - (-480)

Δ = 841      Δ > 0

-6x2-19x+20=0

x = -b ∓ √Δ 2a

x' = 19 - √841 2*-6 = 19 - 29.0 -12 = -10.0 -12 = 0.833333333333

x" = 19 + √841 2*-6 = 19 + 29.0 -12 = 48.0 -12 = -4.0

x' = 30.0

x" = -144.0

S = {x ∈ R / x' = 30.0, x" = -144.0 }