## anonymous 5 years ago (x/x-2)-(x/x+2)=1

I think something wrong in the question .... please correct it. Use "Equation" button to get the equation in good shape

2. anonymous

do you think there are infinetly many solutions or none at all

3. anonymous

Simplify the left hand side will give you (4x)/(x^2 - 4) = 1 [(4x)/(x^2 - 4) ]- 1 = 0 (x^2 - 4x - 4)/(x^2 - 4) = 0 => x^2 -4x -4 = 0 which you can solve by using the quadratic formula

4. anonymous

show me how to use it pls

5. anonymous

roots are $-2 (\sqrt(2) -1)and 2 ( \sqrt(2) +1)$

6. anonymous

7. anonymous

Kynosis, you know how to type out the quadratic formula nicely, please show to Tru769150

8. anonymous

I don't know how to type it here, sorry Tru

9. anonymous

but is what kynosis posted the answer

10. anonymous

$x=\frac{-b \pm \sqrt {b^2-4ac}}{2a},$ which a is the coefficient of the x^2 term b is the coefficient of the x^1 term c is the coefficient of the x^0 term

11. anonymous

so can you show me how i write this in there x^2-4x-4=0

12. anonymous

Find the common denominator which is (x-2)(x+2) then the equation is $x^2 -4x -4 = 0$

13. anonymous

$x=\frac{4 \pm \sqrt {4^2+4(4)}}{2},$

14. anonymous

simplify and you have the same answer

15. anonymous

so it would be 4+or -4squrt of 2/2