-1x2 +14x -13 = 0

ax2 bx c = 0

a = -1

b = 14

c = -13

Δ = b2-4ac

Δ = 14² - (4 * -1 * -13)

Δ = 196 - (4*13)

Δ = 196 - (52)

Δ = 144      Δ > 0

-x2+14x-13=0

x = -b ∓ √Δ 2a

x' = -14 - √144 2*-1 = -14 - 12.0 -2 = -26.0 -2 = 13.0

x" = -14 + √144 2*-1 = -14 + 12.0 -2 = -2.0 -2 = 1.0

x' = 13.0

x" = 1.0

S = {x ∈ R / x' = 13.0, x" = 1.0 }