-4x2 +17x -13 = 0

ax2 bx c = 0

a = -4

b = 17

c = -13

Δ = b2-4ac

Δ = 17² - (4 * -4 * -13)

Δ = 289 - (4*52)

Δ = 289 - (208)

Δ = 81      Δ > 0

-4x2+17x-13=0

x = -b ∓ √Δ 2a

x' = -17 - √81 2*-4 = -17 - 9.0 -8 = -26.0 -8 = 3.25

x" = -17 + √81 2*-4 = -17 + 9.0 -8 = -8.0 -8 = 1.0

x' = 52.0

x" = 16.0

S = {x ∈ R / x' = 52.0, x" = 16.0 }