-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 = -28.0 -12 = 2.33333333333

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

x' = 84.0

x" = -54.0

S = {x ∈ R / x' = 84.0, x" = -54.0 }