5x2 +17x +6 = 0
ax2 bx c = 0
a = 5
b = 17
c = 6
Δ = b2-4ac
Δ = 17² - (4 * 5 * 6)
Δ = 289 - (4*30)
Δ = 289 - (120)
Δ = 169 Δ > 0
5x2+17x+6=0
x = -b ∓ √Δ 2a
x' = -17 - √169 2*5 = -17 - 13.0 10 = -30.0 10 = -3.0
x" = -17 + √169 2*5 = -17 + 13.0 10 = -4.0 10 = -0.4
x' = -75.0
x" = -10.0
S = {x ∈ R / x' = -75.0, x" = -10.0 }