-1x2 -5x +14 = 0

ax2 bx c = 0

a = -1

b = -5

c = 14

Δ = b2-4ac

Δ = -5² - (4 * -1 * 14)

Δ = 25 - (4*-14)

Δ = 25 - (-56)

Δ = 81      Δ > 0

-x2-5x+14=0

x = -b ∓ √Δ 2a

x' = 5 - √81 2*-1 = 5 - 9.0 -2 = -4.0 -2 = 2.0

x" = 5 + √81 2*-1 = 5 + 9.0 -2 = 14.0 -2 = -7.0

x' = 2.0

x" = -7.0

S = {x ∈ R / x' = 2.0, x" = -7.0 }