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 = -10.0 10 = -1.0

x" = 13 + √529 2*5 = 13 + 23.0 10 = 36.0 10 = 3.6

x' = -25.0

x" = 90.0

S = {x ∈ R / x' = -25.0, x" = 90.0 }