-12x2 +19x -7 = 0

ax2 bx c = 0

a = -12

b = 19

c = -7

Δ = b2-4ac

Δ = 19² - (4 * -12 * -7)

Δ = 361 - (4*84)

Δ = 361 - (336)

Δ = 25      Δ > 0

-12x2+19x-7=0

x = -b ∓ √Δ 2a

x' = -19 - √25 2*-12 = -19 - 5.0 -24 = -24.0 -24 = 1.0

x" = -19 + √25 2*-12 = -19 + 5.0 -24 = -14.0 -24 = 0.583333333333

x' = 144.0

x" = 84.0

S = {x ∈ R / x' = 144.0, x" = 84.0 }