-1x2 +8x -15 = 0

ax2 bx c = 0

a = -1

b = 8

c = -15

Δ = b2-4ac

Δ = 8² - (4 * -1 * -15)

Δ = 64 - (4*15)

Δ = 64 - (60)

Δ = 4      Δ > 0

-x2+8x-15=0

x = -b ∓ √Δ 2a

x' = -8 - √4 2*-1 = -8 - 2.0 -2 = -10.0 -2 = 5.0

x" = -8 + √4 2*-1 = -8 + 2.0 -2 = -6.0 -2 = 3.0

x' = 5.0

x" = 3.0

S = {x ∈ R / x' = 5.0, x" = 3.0 }