Question

dau coroana!!! Rezolvati in R ecuatia 3x(la puterea 2) +4(x+2)=(x-2 la puterea 2)
va roggg urgent​

Answer 1

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

$x_{1,2}=\frac{-4+/-\sqrt{16-8} }{2}\\\\ x_{1,2}=\frac{-4+/-\sqrt{8} }{2}\\\\ x_{1,2}=\frac{-4+/-2\sqrt{2} }{2}\\\\x_{1}=\frac{-4+2\sqrt{2} }{2}=-2+\sqrt{2}\\\\x_{2}=\frac{-4-2\sqrt{2} }{2}=-2-\sqrt{2}$