-4x2 +4x +15 = 0

ax2 bx c = 0

a = -4

b = 4

c = 15

Δ = b2-4ac

Δ = 4² - (4 * -4 * 15)

Δ = 16 - (4*-60)

Δ = 16 - (-240)

Δ = 256      Δ > 0

-4x2+4x+15=0

x = -b ∓ √Δ 2a

x' = -4 - √256 2*-4 = -4 - 16.0 -8 = -20.0 -8 = 2.5

x" = -4 + √256 2*-4 = -4 + 16.0 -8 = 12.0 -8 = -1.5

x' = 40.0

x" = -24.0

S = {x ∈ R / x' = 40.0, x" = -24.0 }