-4x2 +19x -15 = 0

ax2 bx c = 0

a = -4

b = 19

c = -15

Δ = b2-4ac

Δ = 19² - (4 * -4 * -15)

Δ = 361 - (4*60)

Δ = 361 - (240)

Δ = 121      Δ > 0

-4x2+19x-15=0

x = -b ∓ √Δ 2a

x' = -19 - √121 2*-4 = -19 - 11.0 -8 = -30.0 -8 = 3.75

x" = -19 + √121 2*-4 = -19 + 11.0 -8 = -8.0 -8 = 1.0

x' = 60.0

x" = 16.0

S = {x ∈ R / x' = 60.0, x" = 16.0 }