Solution - Radical equations

Radical Equation entered :

     √x-2-5 = 3

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √x-2-5 = 3

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√x-2-5)² = (3)²

     After squaring
     x-2-5 = 9

Step  3  :

Solve the linear equation :

     Rearranged equation
     x -16 = 0

     Add  16  to both sides
     x = 16

     A possible solution is :
     x = 16

Step  4  :

Check that the solution is correct :

     Original equation
     √x-2-5 = 3

     Plug in 16 for  x 
      √(16)-2-5 = 3

      Simplify
      √9 = 3
      Solution checks !!
     Solution is:
      x = 16

One solution was found :