-4x2 +3x +7 = 0

ax2 bx c = 0

a = -4

b = 3

c = 7

Δ = b2-4ac

Δ = 3² - (4 * -4 * 7)

Δ = 9 - (4*-28)

Δ = 9 - (-112)

Δ = 121      Δ > 0

-4x2+3x+7=0

x = -b ∓ √Δ 2a

x' = -3 - √121 2*-4 = -3 - 11.0 -8 = -14.0 -8 = 1.75

x" = -3 + √121 2*-4 = -3 + 11.0 -8 = 8.0 -8 = -1.0

x' = 28.0

x" = -16.0

S = {x ∈ R / x' = 28.0, x" = -16.0 }