-18x2 +23x -5 = 0

ax2 bx c = 0

a = -18

b = 23

c = -5

Δ = b2-4ac

Δ = 23² - (4 * -18 * -5)

Δ = 529 - (4*90)

Δ = 529 - (360)

Δ = 169      Δ > 0

-18x2+23x-5=0

x = -b ∓ √Δ 2a

x' = -23 - √169 2*-18 = -23 - 13.0 -36 = -36.0 -36 = 1.0

x" = -23 + √169 2*-18 = -23 + 13.0 -36 = -10.0 -36 = 0.277777777778

x' = 324.0

x" = 90.0

S = {x ∈ R / x' = 324.0, x" = 90.0 }