Online Course Discussion Forum

MC III Chapter 3 Algebra Help

 
 
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MC III Chapter 3 Algebra Help
by Haolin Cong - Tuesday, July 19, 2022, 1:48 PM
 

Hi,

I’m having trouble with 3.24 on the hw. I attached my work below. I think I got the answer but I used trial-and-error. Can you please give me a hint on how to solve it algebraically? Thanks!

 
Picture of Dr. Kevin Wang
Re: MC III Chapter 3 Algebra Help
by Dr. Kevin Wang - Wednesday, July 20, 2022, 12:58 PM
 

Don't raise to the 6th power.  Cube first, and then see if you can isolate the radical and square it.

Also, you may try change of variables: each of the radicals can be represented by one variable, and see where that takes it.