18x2 -5x -7 = 0

ax2 bx c = 0

a = 18

b = -5

c = -7

Δ = b2-4ac

Δ = -5² - (4 * 18 * -7)

Δ = 25 - (4*-126)

Δ = 25 - (-504)

Δ = 529      Δ > 0

18x2-5x-7=0

x = -b ∓ √Δ 2a

x' = 5 - √529 2*18 = 5 - 23.0 36 = -18.0 36 = -0.5

x" = 5 + √529 2*18 = 5 + 23.0 36 = 28.0 36 = 0.777777777778

x' = -162.0

x" = 252.0

S = {x ∈ R / x' = -162.0, x" = 252.0 }