[radical equations][section 63]
       _
(1.) 
x = 6            here is the problem

       x = 36           square each side
        _____
(2.)  
x - 9 = 8         here is the problem

      x - 9 = 64        square each side
 
    +    9   + 9   add 9 to each side
   _______________
       x   = 73          add
            _____
(3.)   3 +
x - 1 = 5        here is the problem

       -3           -3      subtract 3 from each side
     ___________________
             _____
           
x - 1 = 2        subtract

            x - 1 = 4      square each side
                  
             +  1  + 1      add 1 to each side
        ________________
               x = 5           add
             _
(4.)   8 + 2
x = 0             here is the problem

      -8          -8         subtract 8 from each side
     ________________
            _
          2
x =   -8         subtract
          ___    ____
          2       2        divide each side by 2
            _
          
x = -4           divide and cancel

result:  no solution
 

         _
(5.)   5
x = 2              here is the problem
       ___  ____
        5     5          divide each side by 5
       _
     
x = 2/5            cancel

         x = 4/25        square each side
              _
(6.)     6 +
x = 13         here is the problem

         -6       -6     subtract 6 from each side
     __________________
             _
           
x = 7          subtract

       x = 49            square each side
           ______
(7.)  8 =
5r + 1         here is the problem

       64 = 5r + 1        square each side

       -1       -1      subtract 1 from each side
     _______________
         63 = 5r              subtract
       _____  ___
         5     5          divide each side by 5

           12.6 = r          divide and cancel
        ______
(8.)  
x2 + 5 = x + 1            here is the problem

       x2 + 5 = x2 + 2x + 1      square each side

      -x2       -x2            subtract x2 from each side
   __________________________
           5 =     2x + 1       subtract

          -1           -1        subtract 1 from each side
     ______________________
            4 = 2x                 subtract
           __  ____
           2    2             divide each side by 2

            2 = x            divide and cancel
        _______
(9.)  
x2 + 24 = x + 12            here is the problem

        x2 + 24 = x2 + 24x + 144    square each side

      -x2       -x2            subtract x2 from each side
    ________________________________
           24 =      24x + 144          subtract

     24x + 144 = 24                  just rearrange

          -144  -144         subtract 144 from each side
    ____________________
    24x       = -120            subtract
   ____         _____
    24           24           divide each side by 24

        x = -5               divide and cancel
        _______
(10.) 
3b2 - 5 = 11          here is the problem
 
         3b2 - 5 = 121          square each side

             +5    +5         add 5 to each side
      __________________
         3b2   =  126             add
        ____     _____
         3         3             divide each side by 3

          b2 = 42                divide and cancel
       __           __
  b =
42     b = -42       take square roots