-1x2 -15x +16 = 0

ax2 bx c = 0

a = -1

b = -15

c = 16

Δ = b2-4ac

Δ = -15² - (4 * -1 * 16)

Δ = 225 - (4*-16)

Δ = 225 - (-64)

Δ = 289      Δ > 0

-x2-15x+16=0

x = -b ∓ √Δ 2a

x' = 15 - √289 2*-1 = 15 - 17.0 -2 = -2.0 -2 = 1.0

x" = 15 + √289 2*-1 = 15 + 17.0 -2 = 32.0 -2 = -16.0

x' = 1.0

x" = -16.0

S = {x ∈ R / x' = 1.0, x" = -16.0 }