Решим уравнение:
8x² – (x + 4)² = -8(x – 2)
8x² – (x² + 8x + 16) = -8x + 16
8x² – x² - 8x - 16 = -8x + 16
7x² - 8x - 16 = -8x + 16
7x² - 8x + 8x - 16 - 16 = 0
7x² - 32 = 0
7x² = 32
x² = 32/7
x = ±√(32/7) = ±√(32/7 * 7/7) = ±√(224/49) = ±(√(224))/7
Ответ: x = ±(√(224))/7