SOLUTION: <pre><b> _______ <font face = "symbol">Ö</font>8x - 17 - 1 = 0</pre>

Algebra.Com
Question 46165: 

  _______
 Ö8x - 17 - 1 = 0
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!

  _______
 Ö8x - 17 - 1 = 0

Isolate the radical term

      _______
     Ö8x - 17 = 1

Square both sides:
    _______
  (Ö8x - 17)² = (1)²
 
      8x - 17 = 1

          8x = 18

           x = 18/8

           x = 9/4

We must check a radical equation because sometimes
an answer we get does not check even though we did
nothing wrong.

       _______
      Ö8x - 17 - 1 = 0 
   ___________
  Ö8(9/4) - 17 - 1 = 0
       _______
      Ö18 - 17 - 1 = 0
            _
           Ö1 - 1 = 0
            
            1 - 1 = 0

                0 = 0

So x = 9/4 checks and thus is the only solution.

Edwin
RELATED QUESTIONS

 ______
Öx² + 5 - x - 2 = 0
          _____
x = 1  (answered by AnlytcPhil)


 __    __ 
Ö32 +  (answered by AnlytcPhil)


mÐ1:mÐ2 = 1:5. Find... (answered by Edwin McCravy)


  _     __
7Ö3 - 5 (answered by AnlytcPhil)



I am confused on these type of problems, please help. 
If f(x)=x(x+3)(x-1),... (answered by Edwin McCravy)


          ___
simplify  (answered by AnlytcPhil)


For all x > 0 and y > 0, the radical expression
          _
          (answered by AnlytcPhil)


  __ _
3Öa5Öa... (answered by AnlytcPhil)


find the principal root 
 __
 (answered by Edwin McCravy)