-4x2 -13x -3 = 0

ax2 bx c = 0

a = -4

b = -13

c = -3

Δ = b2-4ac

Δ = -13² - (4 * -4 * -3)

Δ = 169 - (4*12)

Δ = 169 - (48)

Δ = 121      Δ > 0

-4x2-13x-3=0

x = -b ∓ √Δ 2a

x' = 13 - √121 2*-4 = 13 - 11.0 -8 = 2.0 -8 = -0.25

x" = 13 + √121 2*-4 = 13 + 11.0 -8 = 24.0 -8 = -3.0

x' = -4.0

x" = -48.0

S = {x ∈ R / x' = -4.0, x" = -48.0 }