5x2 -2x -3 = 0

ax2 bx c = 0

a = 5

b = -2

c = -3

Δ = b2-4ac

Δ = -2² - (4 * 5 * -3)

Δ = 4 - (4*-15)

Δ = 4 - (-60)

Δ = 64      Δ > 0

5x2-2x-3=0

x = -b ∓ √Δ 2a

x' = 2 - √64 2*5 = 2 - 8.0 10 = -6.0 10 = -0.6

x" = 2 + √64 2*5 = 2 + 8.0 10 = 10.0 10 = 1.0

x' = -15.0

x" = 25.0

S = {x ∈ R / x' = -15.0, x" = 25.0 }