5x2 -8x -4 = 0

ax2 bx c = 0

a = 5

b = -8

c = -4

Δ = b2-4ac

Δ = -8² - (4 * 5 * -4)

Δ = 64 - (4*-20)

Δ = 64 - (-80)

Δ = 144      Δ > 0

5x2-8x-4=0

x = -b ∓ √Δ 2a

x' = 8 - √144 2*5 = 8 - 12.0 10 = -4.0 10 = -0.4

x" = 8 + √144 2*5 = 8 + 12.0 10 = 20.0 10 = 2.0

x' = -10.0

x" = 50.0

S = {x ∈ R / x' = -10.0, x" = 50.0 }