-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 = -12.0 -8 = 1.5

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

x' = 24.0

x" = -40.0

S = {x ∈ R / x' = 24.0, x" = -40.0 }