Solution - Radical equations

Radical Equation entered :

     3√2x-1-3 = 0

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Original equation
     3√2x-1-3 = 0

     Isolate
     3√2x-1 = 3+0

      Tidy up
     3√2x-1 = 3

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (3√2x-1)² = (3)²

     After squaring
     18x-9 = 9

Step  3  :

Solve the linear equation :

     Rearranged equation
      18x  -18 = 0

     Add  18  to both sides
      18x  = 18

     Divide both sides by 18
     A possible solution is :
     x = 1

Step  4  :

Check that the solution is correct :

     Original equation, root isolated, after tidy up
     3√2x-1 = 3

     Plug in 1 for  x 
      3√2•(1)-1 = 3

      Simplify
      3√1 = 3
      Solution checks !!
     Solution is:
      x = 1

One solution was found :