+0  
 
0
28
1
avatar

Find all solutions to 7*cuberoot(x) = x + 8.

 
 Oct 13, 2021
 #1
avatar+114826 
+1

\(7\sqrt[3]{x}=x+8\\ 343x=x^3+3*x^2*8+3*x^1*64+8^3\\ 343x=x^3+24x^2+192x+512\\ 0=x^3+24x^2-151x+512\\\)

 

https://www.wolframalpha.com/input/?i=7x%5E%281%2F3%29+%3D+x+%2B+8.

 

 

LaTex:

7\sqrt[3]{x}=x+8\\
343x=x^3+3*x^2*8+3*x^1*64+8^3\\
343x=x^3+24x^2+192x+512\\
0=x^3+24x^2-151x+512\\

 
 Oct 13, 2021

31 Online Users

avatar
avatar