-1x2 -19x +20 = 0

ax2 bx c = 0

a = -1

b = -19

c = 20

Δ = b2-4ac

Δ = -19² - (4 * -1 * 20)

Δ = 361 - (4*-20)

Δ = 361 - (-80)

Δ = 441      Δ > 0

-x2-19x+20=0

x = -b ∓ √Δ 2a

x' = 19 - √441 2*-1 = 19 - 21.0 -2 = -2.0 -2 = 1.0

x" = 19 + √441 2*-1 = 19 + 21.0 -2 = 40.0 -2 = -20.0

x' = 1.0

x" = -20.0

S = {x ∈ R / x' = 1.0, x" = -20.0 }