-18x2 +17x +15 = 0

ax2 bx c = 0

a = -18

b = 17

c = 15

Δ = b2-4ac

Δ = 17² - (4 * -18 * 15)

Δ = 289 - (4*-270)

Δ = 289 - (-1080)

Δ = 1369      Δ > 0

-18x2+17x+15=0

x = -b ∓ √Δ 2a

x' = -17 - √1369 2*-18 = -17 - 37.0 -36 = -54.0 -36 = 1.5

x" = -17 + √1369 2*-18 = -17 + 37.0 -36 = 20.0 -36 = -0.555555555556

x' = 486.0

x" = -180.0

S = {x ∈ R / x' = 486.0, x" = -180.0 }