-4x2 +18x +22 = 0

ax2 bx c = 0

a = -4

b = 18

c = 22

Δ = b2-4ac

Δ = 18² - (4 * -4 * 22)

Δ = 324 - (4*-88)

Δ = 324 - (-352)

Δ = 676      Δ > 0

-4x2+18x+22=0

x = -b ∓ √Δ 2a

x' = -18 - √676 2*-4 = -18 - 26.0 -8 = -44.0 -8 = 5.5

x" = -18 + √676 2*-4 = -18 + 26.0 -8 = 8.0 -8 = -1.0

x' = 88.0

x" = -16.0

S = {x ∈ R / x' = 88.0, x" = -16.0 }