-9x2 -5x +14 = 0

ax2 bx c = 0

a = -9

b = -5

c = 14

Δ = b2-4ac

Δ = -5² - (4 * -9 * 14)

Δ = 25 - (4*-126)

Δ = 25 - (-504)

Δ = 529      Δ > 0

-9x2-5x+14=0

x = -b ∓ √Δ 2a

x' = 5 - √529 2*-9 = 5 - 23.0 -18 = -18.0 -18 = 1.0

x" = 5 + √529 2*-9 = 5 + 23.0 -18 = 28.0 -18 = -1.55555555556

x' = 81.0

x" = -126.0

S = {x ∈ R / x' = 81.0, x" = -126.0 }