-1x2 -6x +7 = 0

ax2 bx c = 0

a = -1

b = -6

c = 7

Δ = b2-4ac

Δ = -6² - (4 * -1 * 7)

Δ = 36 - (4*-7)

Δ = 36 - (-28)

Δ = 64      Δ > 0

-x2-6x+7=0

x = -b ∓ √Δ 2a

x' = 6 - √64 2*-1 = 6 - 8.0 -2 = -2.0 -2 = 1.0

x" = 6 + √64 2*-1 = 6 + 8.0 -2 = 14.0 -2 = -7.0

x' = 1.0

x" = -7.0

S = {x ∈ R / x' = 1.0, x" = -7.0 }