## anonymous one year ago how do i find x

1. HannahA

:D just before yz

2. anonymous

$\frac{ 7x + 4}{ x }=2$

3. geerky42

Try multiply both sides by x.

4. anonymous

so would it be $7x + 4 = 2x$

5. geerky42

Yeah. Now subtract both sides by 2x.

6. geerky42

Can you handle from here?

7. anonymous

so $5x + 4 = 0$

8. anonymous

@geerky42 okay so i got it but its not in my answer

9. geerky42

10. geerky42

You need to isolate x to get your answer, so you know.

11. anonymous

i know i got $\frac{ -4 }{ 5 }$ which is also -.08 but its not in my choices

12. anonymous

can i post the original question?

13. geerky42

14. geerky42

Sure.

15. anonymous

Solve for x: 5 over quantity x squared minus 4 plus 2 over x equals 2 over quantity x minus 2. x = 8 x = –4 x = 8 and x = –4 No Solution

16. anonymous

$\frac{ 5 }{ x^2 - 4 } + \frac{ 2 }{ x } = \frac{ 2 }{ x - 2}$

17. geerky42

$$x^2-4 = (x+2)(x-2)$$ So LCD here is $$(x+2)x(x-2)$$ Multiply both sides by $$(x+2)x(x-2)$$ Lot of work, yeah but it's so we won't have x in denominator anymore.

18. anonymous

so i have to multiply $\frac{ 2 }{ z - 2 }$ by (x +2) and x(x - 2)?

19. anonymous

i mean 2/(x-2)

20. geerky42

Yeah.

21. anonymous

so 2(x + 2)

22. geerky42

2x(x+2)

23. geerky42

x-2 cancel each other

24. geerky42

left us x and x+2

25. anonymous

oh yeah i forgot abiout the other x okay i see

26. geerky42

At end, you should have $$5x + 2(x+2)(x-2) = 2x(x+2)$$

27. geerky42

Now simplify and combine like terms.

28. anonymous

would we get $5x + 2x + 4 (x - 2) = 2x^2 + 4$

29. geerky42

I got $5x+2x^2-8 = 2x^2+4x$

30. geerky42

Just remember that $$(x+2)(x-2) = x^2-4$$

31. geerky42

So for second term in left side, you have $$2(x+2)(x-2) = 2(x^2-4) = 2x^2-8$$ Makes sense so far?

32. anonymous

oh yeah okay now what

33. geerky42

Both sides have $$2x^2$$, so you can cancel them out. Leaving us $$5x-8 = 4x$$. Now it's simply algebra from here.

34. anonymous

give me a sec to solve it plz

35. anonymous

so its 8

36. geerky42

Yep.

37. anonymous

thnx