SOLUTION: Solve. 9/x-5 -1 = 8/x+5 Can anyone help me figure these fractions out, so i CAN HAVE A FORMULA for future references, the slashes are fraction bars.

Question 103817: Solve.

9/x-5 -1 = 8/x+5
Can anyone help me figure these fractions out, so i CAN HAVE A FORMULA for future references, the slashes are fraction bars.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
simplifies to

The least common denominator is

now both sides multiply by and you will have
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this will eliminate denominator, and you will have

now you can use quadratic formula to find and , then you can graf it

Solved by pluggable solver: Quadratic Formula

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

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-1, b=1, and c=110

Square 1 to get 1

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -1 to get -2

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

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