-3x2 -14x +17 = 0
ax2 bx c = 0
a = -3
b = -14
c = 17
Δ = b2-4ac
Δ = -14² - (4 * -3 * 17)
Δ = 196 - (4*-51)
Δ = 196 - (-204)
Δ = 400 Δ > 0
-3x2-14x+17=0
x = -b ∓ √Δ 2a
x' = 14 - √400 2*-3 = 14 - 20.0 -6 = -6.0 -6 = 1.0
x" = 14 + √400 2*-3 = 14 + 20.0 -6 = 34.0 -6 = -5.66666666667
x' = 9.0
x" = -51.0
S = {x ∈ R / x' = 9.0, x" = -51.0 }