-1x2 +9x -14 = 0

ax2 bx c = 0

a = -1

b = 9

c = -14

Δ = b2-4ac

Δ = 9² - (4 * -1 * -14)

Δ = 81 - (4*14)

Δ = 81 - (56)

Δ = 25      Δ > 0

-x2+9x-14=0

x = -b ∓ √Δ 2a

x' = -9 - √25 2*-1 = -9 - 5.0 -2 = -14.0 -2 = 7.0

x" = -9 + √25 2*-1 = -9 + 5.0 -2 = -4.0 -2 = 2.0

x' = 7.0

x" = 2.0

S = {x ∈ R / x' = 7.0, x" = 2.0 }