SOLUTION: x+1/1 + x - 1/3-x = 6/35

Question 167696: x+1/1 + x - 1/3-x = 6/35
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply EVERY term on both sides by the LCD . Doing this will eliminate all of the fractions.

Multiply and simplify

FOIL

Distribute

Combine like terms.

Get all terms to the left side.

Combine like terms.

Notice we have a quadratic equation 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 possible answers are or

However, if you plug in , then you will get a division by zero. So the only answer is

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Answer:

So the solution is which approximates to
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