SOLUTION: I have the problem almost complete but I can get this, Here is the problem: 2/x - 1 = -6 5/x - 2 I got this far an I get stock {{{6x^2-21x+13=0}}} ( ? )( ?

Question 211730: I have the problem almost complete but I can get this, Here is the problem:
2/x - 1 = -6 5/x - 2
I got this far an I get stock

( ? )( ? )
I can get two #'s to solve this equation? Maybe it can be solve... I need some help...
Answer by gypsy1274(9) (Show Source): You can put this solution on YOUR website!
First, I must point out that your two equations are not equal. Unless I am misunderstanding the original equation, you have given 2 different problems.
For the first equation, I understand it to read like this:

Start by multiplying the entire equation by x to eliminate the fraction.

To solve for x, move all the x terms to the left side of the equation and all the non x terms to the right side.
Add 2x to each side to move the -2x to the left. Remember that what you do to one side of the equation, you have to do to the other.

Combine like terms to get:

Now move all non x terms to the right side by subtracting 2 from both sides.

Combine like terms again and the result is:

For your second equation, you must use the quadratic equation to solve this problem.

You've already got the equation in to form, so just plug in the numbers.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=129 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.69648472430005, 0.803515275699954. Here's your graph:

If this doesn't answer your question, feel free to contact me at http://www.ziizoo.com/profile/gypsy1274 for a free 30 minute tutor session.
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