Solution - Radical equations

Radical Equation entered :

     √5x-3 = √2x+3

Step by step solution :

Step  1  :

Isolate a square root on the left hand side :

     Radical already isolated
     √5x-3 = √2x+3

Step  2  :

Eliminate the radical on the left hand side :

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

     After squaring
     5x-3 = 2x+3

Step  3  :

Solve the linear equation :

     Rearranged equation
      3x  -6 = 0

     Add  6  to both sides
      3x  = 6

     Divide both sides by 3
     A possible solution is :
     x = 2

Step  4  :

Check that the solution is correct :

     Original equation
     √5x-3 = √2x+3

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

      Simplify
      √7 = 2.646
      Solution checks !!
     Solution is:
      x = 2

One solution was found :