-18x2 +23x +16 = 0

ax2 bx c = 0

a = -18

b = 23

c = 16

Δ = b2-4ac

Δ = 23² - (4 * -18 * 16)

Δ = 529 - (4*-288)

Δ = 529 - (-1152)

Δ = 1681      Δ > 0

-18x2+23x+16=0

x = -b ∓ √Δ 2a

x' = -23 - √1681 2*-18 = -23 - 41.0 -36 = -64.0 -36 = 1.77777777778

x" = -23 + √1681 2*-18 = -23 + 41.0 -36 = 18.0 -36 = -0.5

x' = 576.0

x" = -162.0

S = {x ∈ R / x' = 576.0, x" = -162.0 }