-4x2 +21x +18 = 0

ax2 bx c = 0

a = -4

b = 21

c = 18

Δ = b2-4ac

Δ = 21² - (4 * -4 * 18)

Δ = 441 - (4*-72)

Δ = 441 - (-288)

Δ = 729      Δ > 0

-4x2+21x+18=0

x = -b ∓ √Δ 2a

x' = -21 - √729 2*-4 = -21 - 27.0 -8 = -48.0 -8 = 6.0

x" = -21 + √729 2*-4 = -21 + 27.0 -8 = 6.0 -8 = -0.75

x' = 96.0

x" = -12.0

S = {x ∈ R / x' = 96.0, x" = -12.0 }