Solution - Radical equations

Radical Equation entered :

     √4x-1 = 3

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √4x-1 = 3

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√4x-1)² = (3)²

     After squaring
     4x-1 = 9

Step  3  :

Solve the linear equation :

     Rearranged equation
      4x  -10 = 0

     Add  10  to both sides
      4x  = 10

     Divide both sides by 4
     A possible solution is :
     x = (5/2)

Step  4  :

Check that the solution is correct :

     Original equation
     √4x-1 = 3

     Plug in (5/2) for  x 
      √4•(5/2)-1 = 3

      Simplify
      √9 = 3
      Solution checks !!
     Solution is:
      x = (5/2)

One solution was found :