-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 = -34.0 -6 = 5.66666666667
x" = -14 + √400 2*-3 = -14 + 20.0 -6 = 6.0 -6 = -1.0
x' = 51.0
x" = -9.0
S = {x ∈ R / x' = 51.0, x" = -9.0 }