Question

X^2/3-5X^1/3+6=0
find x​

Answer 1

`x=27,8`

Step-by-step explanation:

The equation is

`x^{(2)/(3)}-5x^{(1)/(3)}+6=0`

Let,

`x^{(1)/(3)}=y`

So,

`y^2-5y+6=0\\\Rightarrow y=(-\left(-5\right)\pm √(\left(-5\right)^2-4* 1* 6))/(2* 1)\\\Rightarrow y=3,2`

`x^{(1)/(3)}=y\\\Rightarrow y^3=x\\\Rightarrow x=3^3\\\Rightarrow x=27`

`x=2^3\\\Rightarrow x=8`

Hence,
`x=27,8`.