-7x2 -6x +1 = 0

ax2 bx c = 0

a = -7

b = -6

c = 1

Δ = b2-4ac

Δ = -6² - (4 * -7 * 1)

Δ = 36 - (4*-7)

Δ = 36 - (-28)

Δ = 64      Δ > 0

-7x2-6x+1=0

x = -b ∓ √Δ 2a

x' = 6 - √64 2*-7 = 6 - 8.0 -14 = -2.0 -14 = 0.142857142857

x" = 6 + √64 2*-7 = 6 + 8.0 -14 = 14.0 -14 = -1.0

x' = 7.0

x" = -49.0

S = {x ∈ R / x' = 7.0, x" = -49.0 }