SOLUTION: {{{2x - 3x^(1/2) + 1 = 0}}}

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Question 70150This question is from textbook College Algebra Essentials
: This question is from textbook College Algebra Essentials

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!




Two ways to solve it. Pick whichever one
is the method you are studying now.

Method 1.

Change  to 



Isolate the radical term



Square both sides of the equation:









Get 0 on the right by subtracting 9x 
from both sides:



Factor the left side



Setting  gives 

Setting  gives 

Both answers check.

---------------------------------------------

Method 2.



Let 

Then squaring both sides of that we have

   

So the equation becomes



Now we factor the left side:



 gives 

 gives 

But we want x, not w, so since



For 

  

For 

  

Edwin

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