18x2 -17x +4 = 0

ax2 bx c = 0

a = 18

b = -17

c = 4

Δ = b2-4ac

Δ = -17² - (4 * 18 * 4)

Δ = 289 - (4*72)

Δ = 289 - (288)

Δ = 1      Δ > 0

18x2-17x+4=0

x = -b ∓ √Δ 2a

x' = 17 - √1 2*18 = 17 - 1.0 36 = 16.0 36 = 0.444444444444

x" = 17 + √1 2*18 = 17 + 1.0 36 = 18.0 36 = 0.5

x' = 144.0

x" = 162.0

S = {x ∈ R / x' = 144.0, x" = 162.0 }