SOLUTION: <pre> solve the radical equation. if there is no real solution, chose no solution 3x = &#8730;<span style="text-decoration: overline">20 - 3x</span></pre>

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Question 754279: 
solve the radical equation. if there is no real solution, chose no solution 
3x = √20 - 3x
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

              3x = √20 - 3x

Square both sides of the equation:

           (3x)² = (√20 - 3x)²
 
            3²x² = 20 - 3x

             9x² = 20 - 3x

   9x² + 3x - 20 = 0

(3x - 4)(3x + 5) = 0

Use the zero-factor principle:

3x - 4 = 0;  3x + 5 = 0
    3x = 4;      3x = -5
     x = ;      x =       
                  x = 

We must check radical equations to see if answers 
are solutions or extraneous answers:

Checking x =  in original equation:







So  is a solution.

Checking x =  in original equation:








So  is not a solution, but an extraneous answer.

Therefore the only solution is .

Edwin
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