-1x2 +7x -12 = 0

ax2 bx c = 0

a = -1

b = 7

c = -12

Δ = b2-4ac

Δ = 7² - (4 * -1 * -12)

Δ = 49 - (4*12)

Δ = 49 - (48)

Δ = 1      Δ > 0

-x2+7x-12=0

x = -b ∓ √Δ 2a

x' = -7 - √1 2*-1 = -7 - 1.0 -2 = -8.0 -2 = 4.0

x" = -7 + √1 2*-1 = -7 + 1.0 -2 = -6.0 -2 = 3.0

x' = 4.0

x" = 3.0

S = {x ∈ R / x' = 4.0, x" = 3.0 }