5x2 -9x +4 = 0

ax2 bx c = 0

a = 5

b = -9

c = 4

Δ = b2-4ac

Δ = -9² - (4 * 5 * 4)

Δ = 81 - (4*20)

Δ = 81 - (80)

Δ = 1      Δ > 0

5x2-9x+4=0

x = -b ∓ √Δ 2a

x' = 9 - √1 2*5 = 9 - 1.0 10 = 8.0 10 = 0.8

x" = 9 + √1 2*5 = 9 + 1.0 10 = 10.0 10 = 1.0

x' = 20.0

x" = 25.0

S = {x ∈ R / x' = 20.0, x" = 25.0 }