5x2 +17x +14 = 0
ax2 bx c = 0
a = 5
b = 17
c = 14
Δ = b2-4ac
Δ = 17² - (4 * 5 * 14)
Δ = 289 - (4*70)
Δ = 289 - (280)
Δ = 9 Δ > 0
5x2+17x+14=0
x = -b ∓ √Δ 2a
x' = -17 - √9 2*5 = -17 - 3.0 10 = -20.0 10 = -2.0
x" = -17 + √9 2*5 = -17 + 3.0 10 = -14.0 10 = -1.4
x' = -50.0
x" = -35.0
S = {x ∈ R / x' = -50.0, x" = -35.0 }