-1x2 +3x +4 = 0

ax2 bx c = 0

a = -1

b = 3

c = 4

Δ = b2-4ac

Δ = 3² - (4 * -1 * 4)

Δ = 9 - (4*-4)

Δ = 9 - (-16)

Δ = 25      Δ > 0

-x2+3x+4=0

x = -b ∓ √Δ 2a

x' = -3 - √25 2*-1 = -3 - 5.0 -2 = -8.0 -2 = 4.0

x" = -3 + √25 2*-1 = -3 + 5.0 -2 = 2.0 -2 = -1.0

x' = 4.0

x" = -1.0

S = {x ∈ R / x' = 4.0, x" = -1.0 }