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 = -28.0 36 = -0.777777777778

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

x' = -252.0

x" = 162.0

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