-4x2 +21x -17 = 0

ax2 bx c = 0

a = -4

b = 21

c = -17

Δ = b2-4ac

Δ = 21² - (4 * -4 * -17)

Δ = 441 - (4*68)

Δ = 441 - (272)

Δ = 169      Δ > 0

-4x2+21x-17=0

x = -b ∓ √Δ 2a

x' = -21 - √169 2*-4 = -21 - 13.0 -8 = -34.0 -8 = 4.25

x" = -21 + √169 2*-4 = -21 + 13.0 -8 = -8.0 -8 = 1.0

x' = 68.0

x" = 16.0

S = {x ∈ R / x' = 68.0, x" = 16.0 }