5x2 +14x -3 = 0
ax2 bx c = 0
a = 5
b = 14
c = -3
Δ = b2-4ac
Δ = 14² - (4 * 5 * -3)
Δ = 196 - (4*-15)
Δ = 196 - (-60)
Δ = 256 Δ > 0
5x2+14x-3=0
x = -b ∓ √Δ 2a
x' = -14 - √256 2*5 = -14 - 16.0 10 = -30.0 10 = -3.0
x" = -14 + √256 2*5 = -14 + 16.0 10 = 2.0 10 = 0.2
x' = -75.0
x" = 5.0
S = {x ∈ R / x' = -75.0, x" = 5.0 }