Solution - Radical equations

Radical Equation entered :

     √x+9 = √784

Step by step solution :

Step  1  :

Isolate a square root on the left hand side :

     Radical already isolated
     √x+9 = √784

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√x+9)² = (√784)²

     After squaring
     x+9 = 784

Step  3  :

Solve the linear equation :

     Rearranged equation
     x -775 = 0

     Add  775  to both sides
     x = 775

     A possible solution is :
     x = 775

Step  4  :

Check that the solution is correct :

     Original equation
     √x+9 = √784

     Plug in 775 for  x 
      √(775)+9 = √784

      Simplify
      √784 = 28
      Solution checks !!
     Solution is:
      x = 775

One solution was found :