-4x2 +9x -5 = 0

ax2 bx c = 0

a = -4

b = 9

c = -5

Δ = b2-4ac

Δ = 9² - (4 * -4 * -5)

Δ = 81 - (4*20)

Δ = 81 - (80)

Δ = 1      Δ > 0

-4x2+9x-5=0

x = -b ∓ √Δ 2a

x' = -9 - √1 2*-4 = -9 - 1.0 -8 = -10.0 -8 = 1.25

x" = -9 + √1 2*-4 = -9 + 1.0 -8 = -8.0 -8 = 1.0

x' = 20.0

x" = 16.0

S = {x ∈ R / x' = 20.0, x" = 16.0 }