Radical Equation

Intro

There are many kinds of equations out there in math. One of them is the radical equation. The radical is this, √, but this is actually a square root, but I will explain. Each of these equations has the same basic concept of trying to isolate the variable to try to make it equal. In this sample problem, I will make both sides equal.

Sample Problem

                         √3x+4  +3=28

Solution

1. Subtract 3 from both sides.

       √3x+4   +3=6
               -3 -3
      ___________________
         √3x+4 = 3

2. Square on both sides.

         (√3x+4)^2=(3)^2
          3x+4=9

3. Subtract 4 from both sides.

          3x+4=9
            -4 -4
        _____________
             3x=5

4. Divide 3 from both sides.

            3x/3=5/3
             x=5/3

5. Substitute x for 5/3.

          √3(5/3)+4  +3=6

6. Solve out the equation to make both sides equal to 6.

            √3(5/3)+4 +3=6
            √15/3+4  +3=6
             √5+4    +3=6
              √9     +3=6
                 3+3=6
                  6=6