-6x2 +23x -20 = 0

ax2 bx c = 0

a = -6

b = 23

c = -20

Δ = b2-4ac

Δ = 23² - (4 * -6 * -20)

Δ = 529 - (4*120)

Δ = 529 - (480)

Δ = 49      Δ > 0

-6x2+23x-20=0

x = -b ∓ √Δ 2a

x' = -23 - √49 2*-6 = -23 - 7.0 -12 = -30.0 -12 = 2.5

x" = -23 + √49 2*-6 = -23 + 7.0 -12 = -16.0 -12 = 1.33333333333

x' = 90.0

x" = 48.0

S = {x ∈ R / x' = 90.0, x" = 48.0 }