-6x2 -17x +10 = 0
ax2 bx c = 0
a = -6
b = -17
c = 10
Δ = b2-4ac
Δ = -17² - (4 * -6 * 10)
Δ = 289 - (4*-60)
Δ = 289 - (-240)
Δ = 529 Δ > 0
-6x2-17x+10=0
x = -b ∓ √Δ 2a
x' = 17 - √529 2*-6 = 17 - 23.0 -12 = -6.0 -12 = 0.5
x" = 17 + √529 2*-6 = 17 + 23.0 -12 = 40.0 -12 = -3.33333333333
x' = 18.0
x" = -120.0
S = {x ∈ R / x' = 18.0, x" = -120.0 }