5x2 -11x +6 = 0
ax2 bx c = 0
a = 5
b = -11
c = 6
Δ = b2-4ac
Δ = -11² - (4 * 5 * 6)
Δ = 121 - (4*30)
Δ = 121 - (120)
Δ = 1 Δ > 0
5x2-11x+6=0
x = -b ∓ √Δ 2a
x' = 11 - √1 2*5 = 11 - 1.0 10 = 10.0 10 = 1.0
x" = 11 + √1 2*5 = 11 + 1.0 10 = 12.0 10 = 1.2
x' = 25.0
x" = 30.0
S = {x ∈ R / x' = 25.0, x" = 30.0 }