SOLUTION: An equation with two solutions. I cannot wrap my head around this problem. I am completely lost as to what should be done first and so on. x/3=4/x+1

Question 338387: An equation with two solutions. I cannot wrap my head around this problem. I am completely lost as to what should be done first and so on.
x/3=4/x+1
Found 2 solutions by backback, jim_thompson5910:
Answer by backback(24) (Show Source): You can put this solution on YOUR website!
subtract 3 from both sides.
x=1.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that the equation is

Start with the given equation.

Cross multiply.

Multiply

Distribute.

Subtract 12 from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim
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