Question

[Trần Đức Mạnh]

Giải các pt sau:

a) \(x^2+\dfrac{4x^2}{\left(x+2\right)^2}=12\)

b) \(\dfrac{x^2}{3}+\dfrac{48}{x^2}=5.\left(\dfrac{x}{3}+\dfrac{4}{x}\right)\)

c) \(\left(\dfrac{x}{x-1}\right)^2+\left(\dfrac{x}{x+1}\right)^2=\dfrac{10}{9}\)

d) \(\left(\dfrac{x-1}{x}\right)^2+\left(\dfrac{x-1}{x-2}\right)^2=\dfrac{40}{9}\)

e) \(x^2+\left(\dfrac{x}{x+1}\right)^2=8\)

f) \(x^3+\dfrac{1}{x^3}=6\left(x+\dfrac{1}{x}\right)\)