-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 = -18.0 -36 = 0.5

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

x' = 162.0

x" = 144.0

S = {x ∈ R / x' = 162.0, x" = 144.0 }