-4x2 -6x +18 = 0

ax2 bx c = 0

a = -4

b = -6

c = 18

Δ = b2-4ac

Δ = -6² - (4 * -4 * 18)

Δ = 36 - (4*-72)

Δ = 36 - (-288)

Δ = 324      Δ > 0

-4x2-6x+18=0

x = -b ∓ √Δ 2a

x' = 6 - √324 2*-4 = 6 - 18.0 -8 = -12.0 -8 = 1.5

x" = 6 + √324 2*-4 = 6 + 18.0 -8 = 24.0 -8 = -3.0

x' = 24.0

x" = -48.0

S = {x ∈ R / x' = 24.0, x" = -48.0 }