-12x2 -8x +7 = 0

ax2 bx c = 0

a = -12

b = -8

c = 7

Δ = b2-4ac

Δ = -8² - (4 * -12 * 7)

Δ = 64 - (4*-84)

Δ = 64 - (-336)

Δ = 400      Δ > 0

-12x2-8x+7=0

x = -b ∓ √Δ 2a

x' = 8 - √400 2*-12 = 8 - 20.0 -24 = -12.0 -24 = 0.5

x" = 8 + √400 2*-12 = 8 + 20.0 -24 = 28.0 -24 = -1.16666666667

x' = 72.0

x" = -168.0

S = {x ∈ R / x' = 72.0, x" = -168.0 }