5x2 -13x -6 = 0

ax2 bx c = 0

a = 5

b = -13

c = -6

Δ = b2-4ac

Δ = -13² - (4 * 5 * -6)

Δ = 169 - (4*-30)

Δ = 169 - (-120)

Δ = 289      Δ > 0

5x2-13x-6=0

x = -b ∓ √Δ 2a

x' = 13 - √289 2*5 = 13 - 17.0 10 = -4.0 10 = -0.4

x" = 13 + √289 2*5 = 13 + 17.0 10 = 30.0 10 = 3.0

x' = -10.0

x" = 75.0

S = {x ∈ R / x' = -10.0, x" = 75.0 }