5x2 +5x -10 = 0
ax2 bx c = 0
a = 5
b = 5
c = -10
Δ = b2-4ac
Δ = 5² - (4 * 5 * -10)
Δ = 25 - (4*-50)
Δ = 25 - (-200)
Δ = 225 Δ > 0
5x2+5x-10=0
x = -b ∓ √Δ 2a
x' = -5 - √225 2*5 = -5 - 15.0 10 = -20.0 10 = -2.0
x" = -5 + √225 2*5 = -5 + 15.0 10 = 10.0 10 = 1.0
x' = -50.0
x" = 25.0
S = {x ∈ R / x' = -50.0, x" = 25.0 }