5x2 -17x +14 = 0

ax2 bx c = 0

a = 5

b = -17

c = 14

Δ = b2-4ac

Δ = -17² - (4 * 5 * 14)

Δ = 289 - (4*70)

Δ = 289 - (280)

Δ = 9      Δ > 0

5x2-17x+14=0

x = -b ∓ √Δ 2a

x' = 17 - √9 2*5 = 17 - 3.0 10 = 14.0 10 = 1.4

x" = 17 + √9 2*5 = 17 + 3.0 10 = 20.0 10 = 2.0

x' = 35.0

x" = 50.0

S = {x ∈ R / x' = 35.0, x" = 50.0 }