Răspuns:
x₁ = - 2 + √2
x₂ = - 2 - √2
Explicație pas cu pas:
3x² + 4(x + 2) = (x - 2)²
3x² + 4x + 8 = x² - 4x + 4
3x² - x² + 4x + 4x + 8 - 4 = 0
2x² + 8x + 4 = 0
[tex]x_{1,2}=\frac{-4+/-\sqrt{16-8} }{2}\\\\ x_{1,2}=\frac{-4+/-\sqrt{8} }{2}\\\\ x_{1,2}=\frac{-4+/-2\sqrt{2} }{2}\\\\x_{1}=\frac{-4+2\sqrt{2} }{2}=-2+\sqrt{2}\\\\x_{2}=\frac{-4-2\sqrt{2} }{2}=-2-\sqrt{2}[/tex]
