-4x2 -8x +21 = 0

ax2 bx c = 0

a = -4

b = -8

c = 21

Δ = b2-4ac

Δ = -8² - (4 * -4 * 21)

Δ = 64 - (4*-84)

Δ = 64 - (-336)

Δ = 400      Δ > 0

-4x2-8x+21=0

x = -b ∓ √Δ 2a

x' = 8 - √400 2*-4 = 8 - 20.0 -8 = -12.0 -8 = 1.5

x" = 8 + √400 2*-4 = 8 + 20.0 -8 = 28.0 -8 = -3.5

x' = 24.0

x" = -56.0

S = {x ∈ R / x' = 24.0, x" = -56.0 }