5x2 -9x -14 = 0

ax2 bx c = 0

a = 5

b = -9

c = -14

Δ = b2-4ac

Δ = -9² - (4 * 5 * -14)

Δ = 81 - (4*-70)

Δ = 81 - (-280)

Δ = 361      Δ > 0

5x2-9x-14=0

x = -b ∓ √Δ 2a

x' = 9 - √361 2*5 = 9 - 19.0 10 = -10.0 10 = -1.0

x" = 9 + √361 2*5 = 9 + 19.0 10 = 28.0 10 = 2.8

x' = -25.0

x" = 70.0

S = {x ∈ R / x' = -25.0, x" = 70.0 }