## x3_drummerchick one year ago What did I do wrong in this problem!? Help! ill give medals

1. HannahA

drummer chicks unite!!! :D

2. HannahA

sorry, that was random

3. x3_drummerchick

4. anonymous

woah!

5. anonymous

well what's the problem list the equation so we can help you

6. x3_drummerchick

i took a picture of all my work- its i the attachment above ^

7. anonymous

i know u guys are here do something already

8. freckles

looking backwards it seems like you have in that thinking that -4(2) = -24

9. anonymous

10. x3_drummerchick

this is the problem: $\frac{ x + \frac{ 5 }{ x } }{ 1+\frac{ 6 }{ x } }=4x$

11. freckles

$\frac{-24 \pm 2 \sqrt{159}}{6}= \frac{\frac{-24}{2} \pm \frac{2 \sqrt{159}}{2}}{\frac{6}{2}} \\ \\ =\frac{-12 \pm \sqrt{159}}{3}$

12. anonymous

Try mathway

13. freckles

other than that your work looks great just end part needs fixing

14. x3_drummerchick

im confused :(

15. freckles

in the end when you divided -24 by 2 you wrote -4 this is not true

16. x3_drummerchick

why cant i simplify the numerator and denominator like afraction?

17. freckles

$\frac{-24 \pm 2 \sqrt{159}}{6} \\ \text{ you can separate the fraction } \\ \\ \frac{-24}{6} \pm \frac{2 \sqrt{159}}{6} \\ -4 \pm \frac{\sqrt{159}}{3}$

18. freckles

maybe that is what you meant to do

19. mathstudent55

Look at your last step, the solution. Now look one step up.

20. mathstudent55

-24 and 6 simplify to -12 and 3, not -4 and 3

21. x3_drummerchick

ahhh there we go, that makes more sense to me

22. mathstudent55

You made a small mistake in the very last step.

23. x3_drummerchick

i did this same thing last time lol thanks!!

24. mathstudent55

$$\dfrac{-24 \pm 2\sqrt{159} }{6} = \dfrac{\cancel 2 (-12 \pm \sqrt{159})}{\cancel 2(3)}$$

25. freckles

just curious so this didn't make any sense: $\frac{-24 \pm 2 \sqrt{159}}{6}= \frac{\frac{-24}{2} \pm \frac{2 \sqrt{159}}{2}}{\frac{6}{2}} \\ \\ =\frac{-12 \pm \sqrt{159}}{3}$ ?

26. mathstudent55

@freckles You figured it out way back.

27. x3_drummerchick

i kinda understand that way that you wrote, the other way was easier lol

28. freckles

ok well as long as you get it