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 = 2.0 10 = 0.2
x" = 11 + √81 2*5 = 11 + 9.0 10 = 20.0 10 = 2.0
x' = 5.0
x" = 50.0
S = {x ∈ R / x' = 5.0, x" = 50.0 }