Solution - Radical equations

Radical Equation entered :

     23 = √2x+10

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Original equation
     23 = √2x+10

     Isolate
     -√2x+10 = -23

      Tidy up
     √2x+10 = 23

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√2x+10)² = (23)²

     After squaring
     2x+10 = 529

Step  3  :

Solve the linear equation :

     Rearranged equation
      2x  -519 = 0

     Add  519  to both sides
      2x  = 519

     Divide both sides by 2
     A possible solution is :
     x = (519/2)

Step  4  :

Check that the solution is correct :

     Original equation, root isolated, after tidy up
     √2x+10 = 23

     Plug in (519/2) for  x 
      √2•(519/2)+10 = 23

      Simplify
      √529 = 23
      Solution checks !!
     Solution is:
      x = (519/2)

One solution was found :