-6x2 -15x +21 = 0

ax2 bx c = 0

a = -6

b = -15

c = 21

Δ = b2-4ac

Δ = -15² - (4 * -6 * 21)

Δ = 225 - (4*-126)

Δ = 225 - (-504)

Δ = 729      Δ > 0

-6x2-15x+21=0

x = -b ∓ √Δ 2a

x' = 15 - √729 2*-6 = 15 - 27.0 -12 = -12.0 -12 = 1.0

x" = 15 + √729 2*-6 = 15 + 27.0 -12 = 42.0 -12 = -3.5

x' = 36.0

x" = -126.0

S = {x ∈ R / x' = 36.0, x" = -126.0 }