-1x2 +15x -14 = 0

ax2 bx c = 0

a = -1

b = 15

c = -14

Δ = b2-4ac

Δ = 15² - (4 * -1 * -14)

Δ = 225 - (4*14)

Δ = 225 - (56)

Δ = 169      Δ > 0

-x2+15x-14=0

x = -b ∓ √Δ 2a

x' = -15 - √169 2*-1 = -15 - 13.0 -2 = -28.0 -2 = 14.0

x" = -15 + √169 2*-1 = -15 + 13.0 -2 = -2.0 -2 = 1.0

x' = 14.0

x" = 1.0

S = {x ∈ R / x' = 14.0, x" = 1.0 }