X^(4/3)-5x^(2/3)+6=0

2048-11
Q. (1) Find all real solutions of
42
33
560
xx
-+=

Sol: (1)
We can also write the equation (1) as,

(
)
(
)
2
22
33
560
xx
-+=
……………… (1),
Let
2
3
ux
=
………………. (2),
Then

(
)
(
)
2
560
320
uu
uu
-+=
--=
Then
3,2
u
=
...