5x2 -2x -16 = 0

ax2 bx c = 0

a = 5

b = -2

c = -16

Δ = b2-4ac

Δ = -2² - (4 * 5 * -16)

Δ = 4 - (4*-80)

Δ = 4 - (-320)

Δ = 324      Δ > 0

5x2-2x-16=0

x = -b ∓ √Δ 2a

x' = 2 - √324 2*5 = 2 - 18.0 10 = -16.0 10 = -1.6

x" = 2 + √324 2*5 = 2 + 18.0 10 = 20.0 10 = 2.0

x' = -40.0

x" = 50.0

S = {x ∈ R / x' = -40.0, x" = 50.0 }