5x2 -3x -2 = 0

ax2 bx c = 0

a = 5

b = -3

c = -2

Δ = b2-4ac

Δ = -3² - (4 * 5 * -2)

Δ = 9 - (4*-10)

Δ = 9 - (-40)

Δ = 49      Δ > 0

5x2-3x-2=0

x = -b ∓ √Δ 2a

x' = 3 - √49 2*5 = 3 - 7.0 10 = -4.0 10 = -0.4

x" = 3 + √49 2*5 = 3 + 7.0 10 = 10.0 10 = 1.0

x' = -10.0

x" = 25.0

S = {x ∈ R / x' = -10.0, x" = 25.0 }