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 = -20.0 10 = -2.0

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

x' = -50.0

x" = 40.0

S = {x ∈ R / x' = -50.0, x" = 40.0 }