-6x2 -11x +21 = 0

ax2 bx c = 0

a = -6

b = -11

c = 21

Δ = b2-4ac

Δ = -11² - (4 * -6 * 21)

Δ = 121 - (4*-126)

Δ = 121 - (-504)

Δ = 625      Δ > 0

-6x2-11x+21=0

x = -b ∓ √Δ 2a

x' = 11 - √625 2*-6 = 11 - 25.0 -12 = -14.0 -12 = 1.16666666667

x" = 11 + √625 2*-6 = 11 + 25.0 -12 = 36.0 -12 = -3.0

x' = 42.0

x" = -108.0

S = {x ∈ R / x' = 42.0, x" = -108.0 }