√3x + 1 - 3 = 7 How is this solved?

Question

Note 3x + 1 are the only numbers inside the square root

I don't understand i really need the help

Answer 1

Okay, so if I understood you correctly, the problem is this:

√(3X+1) - 3 = 7   , yes? In that case, it isn't too bad for a root equation. The goal, as always, is to isolate the X, but first you have to free it from the root. You can't do that until the root is alone. let's get started:

 

√(3X+1) - 3 = 7

              +3   +3

 

√(3X+1)      = 10      Now, you can remove the root by doing the opposite: squaring both sides:

 

√(3X+1)²     = 10²

3X+1           = 100

    =1                -1

 3X              =  99

3X / 3          = 99/3

     X            = 33

If you plug it in, you will find that the equation is indeed true. What if there is more than one root in an equation? Isolate just one of them, square both sides (you will probably have some ugly FOILing to do!). Isolate another of the roots, and repeat until all are gone. They will all be eventually.