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 = -10.0 10 = -1.0
x" = 5 + √225 2*5 = 5 + 15.0 10 = 20.0 10 = 2.0
x' = -25.0
x" = 50.0
S = {x ∈ R / x' = -25.0, x" = 50.0 }