# solve for x

• Jul 27th 2008, 10:46 AM
cruxkitty
solve for x
y= 2x +1/x+1
everytime i get to the end of the problem i get stuck...can some please show the steps i dont know where i am messing up at
• Jul 27th 2008, 11:07 AM
earboth
Quote:

Originally Posted by cruxkitty
y= 2x +1/x+1
everytime i get to the end of the problem i get stuck...can some please show the steps i dont know where i am messing up at

From the headline I assume that you want to solve for x.

1. Multiply both sides of the equation by x to get rid of the denominator:

xy = 2x² + 1 + x ==> 2x² + x - xy + 1 = 0 ==> 2x² + (1-y)x +1 = 0

2. This is a quadratic equation in x which you can solve by the formula:

x = -(1-y)/(4) ± √((1-y)² - 8)/16)
• Jul 27th 2008, 11:12 AM
gtbiyb
Hello!

Is that all the information you have because you cant solve the equation as you have two variables x and y. You can transpose to make x the subject to get x = y - 1 / 2 - y.

So you cant solve unless you gat a value of y to input.
• Jul 27th 2008, 12:24 PM
masters
Quote:

Originally Posted by gtbiyb
Hello!

Is that all the information you have because you cant solve the equation as you have two variables x and y. You can transpose to make x the subject to get x = y - 1 / 2 - y.

So you cant solve unless you gat a value of y to input.

http://www.texify.com/img/%5CLARGE%5...7Bx%7D%2B1.gif