X^2/3-5X^1/3+6=0 find x​

asked Mar 16, 2022 235k views

1 vote

X^2/3-5X^1/3+6=0
find x

5.0k points

Please log in or register to add a comment.

4 votes

Answer:

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 .

Rahs answered Mar 20, 2022

by Rahs

6.3k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.6m questions

7.3m answers