-15x2 +21x -6 = 0

ax2 bx c = 0

a = -15

b = 21

c = -6

Δ = b2-4ac

Δ = 21² - (4 * -15 * -6)

Δ = 441 - (4*90)

Δ = 441 - (360)

Δ = 81      Δ > 0

-15x2+21x-6=0

x = -b ∓ √Δ 2a

x' = -21 - √81 2*-15 = -21 - 9.0 -30 = -30.0 -30 = 1.0

x" = -21 + √81 2*-15 = -21 + 9.0 -30 = -12.0 -30 = 0.4

x' = 225.0

x" = 90.0

S = {x ∈ R / x' = 225.0, x" = 90.0 }