-18x2 -5x +23 = 0

ax2 bx c = 0

a = -18

b = -5

c = 23

Δ = b2-4ac

Δ = -5² - (4 * -18 * 23)

Δ = 25 - (4*-414)

Δ = 25 - (-1656)

Δ = 1681      Δ > 0

-18x2-5x+23=0

x = -b ∓ √Δ 2a

x' = 5 - √1681 2*-18 = 5 - 41.0 -36 = -36.0 -36 = 1.0

x" = 5 + √1681 2*-18 = 5 + 41.0 -36 = 46.0 -36 = -1.27777777778

x' = 324.0

x" = -414.0

S = {x ∈ R / x' = 324.0, x" = -414.0 }