-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 = -28.0 -24 = 1.16666666667

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

x' = 168.0

x" = -72.0

S = {x ∈ R / x' = 168.0, x" = -72.0 }