-9x2 -8x +20 = 0

ax2 bx c = 0

a = -9

b = -8

c = 20

Δ = b2-4ac

Δ = -8² - (4 * -9 * 20)

Δ = 64 - (4*-180)

Δ = 64 - (-720)

Δ = 784      Δ > 0

-9x2-8x+20=0

x = -b ∓ √Δ 2a

x' = 8 - √784 2*-9 = 8 - 28.0 -18 = -20.0 -18 = 1.11111111111

x" = 8 + √784 2*-9 = 8 + 28.0 -18 = 36.0 -18 = -2.0

x' = 90.0

x" = -162.0

S = {x ∈ R / x' = 90.0, x" = -162.0 }