-17x2 +15x +2 = 0

ax2 bx c = 0

a = -17

b = 15

c = 2

Δ = b2-4ac

Δ = 15² - (4 * -17 * 2)

Δ = 225 - (4*-34)

Δ = 225 - (-136)

Δ = 361      Δ > 0

-17x2+15x+2=0

x = -b ∓ √Δ 2a

x' = -15 - √361 2*-17 = -15 - 19.0 -34 = -34.0 -34 = 1.0

x" = -15 + √361 2*-17 = -15 + 19.0 -34 = 4.0 -34 = -0.117647058824

x' = 289.0

x" = -34.0

S = {x ∈ R / x' = 289.0, x" = -34.0 }