-4x2 -18x +10 = 0

ax2 bx c = 0

a = -4

b = -18

c = 10

Δ = b2-4ac

Δ = -18² - (4 * -4 * 10)

Δ = 324 - (4*-40)

Δ = 324 - (-160)

Δ = 484      Δ > 0

-4x2-18x+10=0

x = -b ∓ √Δ 2a

x' = 18 - √484 2*-4 = 18 - 22.0 -8 = -4.0 -8 = 0.5

x" = 18 + √484 2*-4 = 18 + 22.0 -8 = 40.0 -8 = -5.0

x' = 8.0

x" = -80.0

S = {x ∈ R / x' = 8.0, x" = -80.0 }