-1x2 +7x -10 = 0

ax2 bx c = 0

a = -1

b = 7

c = -10

Δ = b2-4ac

Δ = 7² - (4 * -1 * -10)

Δ = 49 - (4*10)

Δ = 49 - (40)

Δ = 9      Δ > 0

-x2+7x-10=0

x = -b ∓ √Δ 2a

x' = -7 - √9 2*-1 = -7 - 3.0 -2 = -10.0 -2 = 5.0

x" = -7 + √9 2*-1 = -7 + 3.0 -2 = -4.0 -2 = 2.0

x' = 5.0

x" = 2.0

S = {x ∈ R / x' = 5.0, x" = 2.0 }