-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 = -12.0 -2 = 6.0

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

x' = 6.0

x" = 1.0

S = {x ∈ R / x' = 6.0, x" = 1.0 }