5x2 +11x +2 = 0
ax2 bx c = 0
a = 5
b = 11
c = 2
Δ = b2-4ac
Δ = 11² - (4 * 5 * 2)
Δ = 121 - (4*10)
Δ = 121 - (40)
Δ = 81 Δ > 0
5x2+11x+2=0
x = -b ∓ √Δ 2a
x' = -11 - √81 2*5 = -11 - 9.0 10 = -20.0 10 = -2.0
x" = -11 + √81 2*5 = -11 + 9.0 10 = -2.0 10 = -0.2
x' = -50.0
x" = -5.0
S = {x ∈ R / x' = -50.0, x" = -5.0 }