-18x2 +23x -7 = 0

ax2 bx c = 0

a = -18

b = 23

c = -7

Δ = b2-4ac

Δ = 23² - (4 * -18 * -7)

Δ = 529 - (4*126)

Δ = 529 - (504)

Δ = 25      Δ > 0

-18x2+23x-7=0

x = -b ∓ √Δ 2a

x' = -23 - √25 2*-18 = -23 - 5.0 -36 = -28.0 -36 = 0.777777777778

x" = -23 + √25 2*-18 = -23 + 5.0 -36 = -18.0 -36 = 0.5

x' = 252.0

x" = 162.0

S = {x ∈ R / x' = 252.0, x" = 162.0 }