Đáp án:
$\frac{x+2}{x-2}$ - $\frac{x-2}{x+2}$ = $\frac{x²+12}{x²-4}$
DKXD : x # ±2
⇔ $\frac{(x+2)² - (x-2)²}{x²- 4}$ = $\frac{x²+12}{x²- 4}$
⇔ $\frac{8x}{x²-4}$ = $\frac{x²+12}{x²-4}$
⇒ 8x = x² + 12
⇔ x² - 8x + 12 = 0
⇔ \(\left[ \begin{array}{l}x=2(ktm)\\x=6(tm)\end{array} \right.\)
Vay phuong trinh co nghiem x = 6