5x2 -17x +6 = 0
ax2 bx c = 0
a = 5
b = -17
c = 6
Δ = b2-4ac
Δ = -17² - (4 * 5 * 6)
Δ = 289 - (4*30)
Δ = 289 - (120)
Δ = 169 Δ > 0
5x2-17x+6=0
x = -b ∓ √Δ 2a
x' = 17 - √169 2*5 = 17 - 13.0 10 = 4.0 10 = 0.4
x" = 17 + √169 2*5 = 17 + 13.0 10 = 30.0 10 = 3.0
x' = 10.0
x" = 75.0
S = {x ∈ R / x' = 10.0, x" = 75.0 }