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

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.

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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