Question

Решите уравнение

x+6√x+8=0

Answer 1

x + 6√x + 8 = 0

x + 6√x = -8

(x + 6√x)² = 64

x² + 12x√x + 36x + 64x = 64

x² + 48√x + 64 = 0

y² + 48y + 64 = 0

y = (-48 ± √(48² - 4(1)(64)))/(2(1))

y = (-48 ± √768)/2

y = (-48 ± 16√3)/2

y = -24 ± 8√3

√x = -24 + 8√3 or √x = -24 - 8√3

∅