Solution - Radical equations

Radical Equation entered :

     100 = √3x

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Original equation
     100 = √3x

     Isolate
     -√3x = -100

      Tidy up
     √3x = 100

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√3x)² = (100)²

     After squaring
     3x = 10000

Step  3  :

Solve the linear equation :

     Rearranged equation
      3x  -10000 = 0

     Add  10000  to both sides
      3x  = 10000

     Divide both sides by 3
     A possible solution is :
     x = (10000/3)

Step  4  :

Check that the solution is correct :

     Original equation, root isolated, after tidy up
     √3x = 100

     Plug in (10000/3) for  x 
      √3•(10000/3) = 100

      Simplify
      √10000 = 100
      Solution checks !!
     Solution is:
      x = (10000/3)

One solution was found :