Solution - Radical equations

Radical Equation entered :

     7 = √13-6u

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Original equation
     7 = √13-6u

     Isolate
     -√13-6u = -7

      Tidy up
     √13-6u = 7

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√13-6u)² = (7)²

     After squaring
     13-6u = 49

Step  3  :

Solve the linear equation :

     Rearranged equation
      6u  + 36 = 0

     Subtract  36  from both sides
      6u  =  -36

     Divide both sides by 6
     A possible solution is :
     u =  -6

Step  4  :

Check that the solution is correct :

     Original equation, root isolated, after tidy up
     √13-6u = 7

     Plug in  -6 for  u 
      √13-6•(-6) = 7

      Simplify
      √49 = 7
      Solution checks !!
     Solution is:
      u =  -6

One solution was found :