Question

Rezolvati in R ecuatia 4$x^{2}$ - 3x - 1 = $x^{2}$ + 2x - 3

Answer 1

4x²-3x-1 = x²+2x-3

4x²-x²-3x-2x-1+3 = 0

3x²-5x+2 = 0

Δ = b²-4ac = 5²-4*3*2 = 25-24 = 1

x₁ = (-b+VΔ)/2a = (5+1)/6 = 6/6 = 1

x₂ = (-b-VΔ)/2a = (5-1)/6 = 4/6 = 2/3

x = {2/3, 1}