-1x2 -7x -6 = 0

ax2 bx c = 0

a = -1

b = -7

c = -6

Δ = b2-4ac

Δ = -7² - (4 * -1 * -6)

Δ = 49 - (4*6)

Δ = 49 - (24)

Δ = 25      Δ > 0

-x2-7x-6=0

x = -b ∓ √Δ 2a

x' = 7 - √25 2*-1 = 7 - 5.0 -2 = 2.0 -2 = -1.0

x" = 7 + √25 2*-1 = 7 + 5.0 -2 = 12.0 -2 = -6.0

x' = -1.0

x" = -6.0

S = {x ∈ R / x' = -1.0, x" = -6.0 }