-4x2 -11x +20 = 0

ax2 bx c = 0

a = -4

b = -11

c = 20

Δ = b2-4ac

Δ = -11² - (4 * -4 * 20)

Δ = 121 - (4*-80)

Δ = 121 - (-320)

Δ = 441      Δ > 0

-4x2-11x+20=0

x = -b ∓ √Δ 2a

x' = 11 - √441 2*-4 = 11 - 21.0 -8 = -10.0 -8 = 1.25

x" = 11 + √441 2*-4 = 11 + 21.0 -8 = 32.0 -8 = -4.0

x' = 20.0

x" = -64.0

S = {x ∈ R / x' = 20.0, x" = -64.0 }