5x2 -6x +1 = 0
ax2 bx c = 0
a = 5
b = -6
c = 1
Δ = b2-4ac
Δ = -6² - (4 * 5 * 1)
Δ = 36 - (4*5)
Δ = 36 - (20)
Δ = 16 Δ > 0
5x2-6x+1=0
x = -b ∓ √Δ 2a
x' = 6 - √16 2*5 = 6 - 4.0 10 = 2.0 10 = 0.2
x" = 6 + √16 2*5 = 6 + 4.0 10 = 10.0 10 = 1.0
x' = 5.0
x" = 25.0
S = {x ∈ R / x' = 5.0, x" = 25.0 }