-4x2 -7x +15 = 0

ax2 bx c = 0

a = -4

b = -7

c = 15

Δ = b2-4ac

Δ = -7² - (4 * -4 * 15)

Δ = 49 - (4*-60)

Δ = 49 - (-240)

Δ = 289      Δ > 0

-4x2-7x+15=0

x = -b ∓ √Δ 2a

x' = 7 - √289 2*-4 = 7 - 17.0 -8 = -10.0 -8 = 1.25

x" = 7 + √289 2*-4 = 7 + 17.0 -8 = 24.0 -8 = -3.0

x' = 20.0

x" = -48.0

S = {x ∈ R / x' = 20.0, x" = -48.0 }