-4x2 -x +5 = 0

ax2 bx c = 0

a = -4

b = -1

c = 5

Δ = b2-4ac

Δ = -² - (4 * -4 * 5)

Δ = 1 - (4*-20)

Δ = 1 - (-80)

Δ = 81      Δ > 0

-4x2-x+5=0

x = -b ∓ √Δ 2a

x' = 1 - √81 2*-4 = 1 - 9.0 -8 = -8.0 -8 = 1.0

x" = 1 + √81 2*-4 = 1 + 9.0 -8 = 10.0 -8 = -1.25

x' = 16.0

x" = -20.0

S = {x ∈ R / x' = 16.0, x" = -20.0 }