-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 = -40.0 -12 = 3.33333333333
x" = -17 + √529 2*-6 = -17 + 23.0 -12 = 6.0 -12 = -0.5
x' = 120.0
x" = -18.0
S = {x ∈ R / x' = 120.0, x" = -18.0 }