Răspuns:
Explicație pas cu pas:
{4x²-x = y
{4x-y = 1
<=>
{4x²-x = y
{4x-4x²+x = 1 => -4x²+5x - 1 = 0 <=>
{4x²-x = y
{4x²-5x+1 = 0 => x₁,₂ = [5±√(25-16)]/8
x₁ = (5-3)/8 = 1/4
x₂ = 8/8 = 1
x₁ = 1/4 => y₁ = 4·1/16 -1/4 => y₁ = 0
x₂ = 1 => y₂ = 4-1 => y₂ = 3
Solutii : (1/4 ; 0) si (1 ; 3)