## maheshmeghwal9 3 years ago Solve for x: x-2/x-4=x+4/x-2

1. sheg

cross multiply

2. jhonyy9

how do you think when there we have fractions what is necessary being the first step ?

3. sheg

you will get \[\large{(x-2)^2 = {x^2 - 4^2}}\]

4. jhonyy9

what will be restriction for x ?

5. maheshmeghwal9

6. maheshmeghwal9

ok! thanx.

7. jhonyy9

so if do you like learning how you need to solve exercises like this i will help you understanding all

8. abbas07

X=-6 is ans

9. jhonyy9

,,mahes..." do you like to learn it ?

10. maheshmeghwal9

ya

11. jhonyy9

12. maheshmeghwal9

ok

13. jhonyy9

than you need get the common denomminator yes

14. jhonyy9

but firstly what will be the restriction for x values ?

15. jhonyy9

when a fraction will be undefined sure ?

16. maheshmeghwal9

when we divide it by zero.

17. jhonyy9

so when the denomminator is zero YEs ?

18. jhonyy9

so than look it there when will be zero these denominators ?

19. maheshmeghwal9

for 4 & 2.

20. jhonyy9

so than these restrictions for x will be that x not can being equal never 4 and 2

21. maheshmeghwal9

ok

22. jhonyy9

after this so when you need working with fractions what you need to do adding fractions ?

23. maheshmeghwal9

ok

24. jhonyy9

ok what ? you need getting the denomminator common ,yes ?

25. maheshmeghwal9

I don't understand what do you want to say.

26. jhonyy9

how do you add 1/3 + 3/5 = ?

27. maheshmeghwal9

14/15

28. jhonyy9

so there what is 15 ?

29. maheshmeghwal9

denominator

30. jhonyy9

no

31. jhonyy9

what style of denomminator ?

32. maheshmeghwal9

common

33. jhonyy9

ok yes so for your exercise can you getting the denominator common

34. jhonyy9

?

35. maheshmeghwal9

yes

36. jhonyy9

than what will be ?

37. maheshmeghwal9

(x-4)(x-2)

38. maheshmeghwal9

when we subtract them

39. jhonyy9

ok than what you need to do with first fraction and after with second ?

40. maheshmeghwal9

i have understood what you are saying and so i will solve this question.

41. jhonyy9

can i see it here ?

42. maheshmeghwal9

ya i will sove

43. jhonyy9

wait

44. maheshmeghwal9

|dw:1336203322079:dw|

45. maheshmeghwal9

yes

46. maheshmeghwal9

|dw:1336203585887:dw|

47. jhonyy9

(x-2)^2 =x^2 -16 x^2 -4x +4 =x^2 -16 -4x+4=-16 -4x=-20 x=5

48. maheshmeghwal9

i have solved before

49. jhonyy9

how was there x=10

50. jhonyy9

???

51. maheshmeghwal9

no you see next solution.

52. maheshmeghwal9

which i have done

53. jhonyy9

ok i see it but befor you have wrote there x=10

54. maheshmeghwal9

ya there I was wrong. So thanx for your co-operation.

55. jhonyy9

my pleasure yw good luck bye

56. maheshmeghwal9

bye

57. ajprincess

good work @jhonny. I really appreciate t.

58. maheshmeghwal9

ya

59. jhonyy9

thank you good luck to you too

60. ajprincess

Thanks and same to u