-6x2 -5x +21 = 0

ax2 bx c = 0

a = -6

b = -5

c = 21

Δ = b2-4ac

Δ = -5² - (4 * -6 * 21)

Δ = 25 - (4*-126)

Δ = 25 - (-504)

Δ = 529      Δ > 0

-6x2-5x+21=0

x = -b ∓ √Δ 2a

x' = 5 - √529 2*-6 = 5 - 23.0 -12 = -18.0 -12 = 1.5

x" = 5 + √529 2*-6 = 5 + 23.0 -12 = 28.0 -12 = -2.33333333333

x' = 54.0

x" = -84.0

S = {x ∈ R / x' = 54.0, x" = -84.0 }