5x2 -3x -14 = 0

ax2 bx c = 0

a = 5

b = -3

c = -14

Δ = b2-4ac

Δ = -3² - (4 * 5 * -14)

Δ = 9 - (4*-70)

Δ = 9 - (-280)

Δ = 289      Δ > 0

5x2-3x-14=0

x = -b ∓ √Δ 2a

x' = 3 - √289 2*5 = 3 - 17.0 10 = -14.0 10 = -1.4

x" = 3 + √289 2*5 = 3 + 17.0 10 = 20.0 10 = 2.0

x' = -35.0

x" = 50.0

S = {x ∈ R / x' = -35.0, x" = 50.0 }