-9x2 -14x -5 = 0

ax2 bx c = 0

a = -9

b = -14

c = -5

Δ = b2-4ac

Δ = -14² - (4 * -9 * -5)

Δ = 196 - (4*45)

Δ = 196 - (180)

Δ = 16      Δ > 0

-9x2-14x-5=0

x = -b ∓ √Δ 2a

x' = 14 - √16 2*-9 = 14 - 4.0 -18 = 10.0 -18 = -0.555555555556

x" = 14 + √16 2*-9 = 14 + 4.0 -18 = 18.0 -18 = -1.0

x' = -45.0

x" = -81.0

S = {x ∈ R / x' = -45.0, x" = -81.0 }