solve 1-2/x=2/x+2. Express your answer in simplest radical form

Printable View

- Nov 25th 2008, 08:01 AMbondraanswer in radical form
solve 1-2/x=2/x+2. Express your answer in simplest radical form

- Nov 25th 2008, 08:15 AMmasters
Hello Bondra,

Use grouping symbols to clarify your post. I assume you mean this:

$\displaystyle 1-\frac{2}{x}=\frac{2}{x+2}$

$\displaystyle x(x+2)-2(x+2)=2x$

$\displaystyle x^2+2x-2x-4=2x$

$\displaystyle x^2-2x-4=0$

Use the quadratic formula to solve when in this form: $\displaystyle ax^2+bx+c=0$.

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Finish up!