-4x2 -3x +10 = 0

ax2 bx c = 0

a = -4

b = -3

c = 10

Δ = b2-4ac

Δ = -3² - (4 * -4 * 10)

Δ = 9 - (4*-40)

Δ = 9 - (-160)

Δ = 169      Δ > 0

-4x2-3x+10=0

x = -b ∓ √Δ 2a

x' = 3 - √169 2*-4 = 3 - 13.0 -8 = -10.0 -8 = 1.25

x" = 3 + √169 2*-4 = 3 + 13.0 -8 = 16.0 -8 = -2.0

x' = 20.0

x" = -32.0

S = {x ∈ R / x' = 20.0, x" = -32.0 }