5x2 +13x -18 = 0

ax2 bx c = 0

a = 5

b = 13

c = -18

Δ = b2-4ac

Δ = 13² - (4 * 5 * -18)

Δ = 169 - (4*-90)

Δ = 169 - (-360)

Δ = 529      Δ > 0

5x2+13x-18=0

x = -b ∓ √Δ 2a

x' = -13 - √529 2*5 = -13 - 23.0 10 = -36.0 10 = -3.6

x" = -13 + √529 2*5 = -13 + 23.0 10 = 10.0 10 = 1.0

x' = -90.0

x" = 25.0

S = {x ∈ R / x' = -90.0, x" = 25.0 }