nirmalnema one year ago plz help..!!

1. nirmalnema

$(x+1/x =11 ) then find ( x^2+1/x^2)$

2. nirmalnema

@chmvijay

3. DanielK16

Whatchu mean?

4. DanielK16

X+1 divided by x=11???

5. nirmalnema

x+ (1/x) mentioned in the que..!!

6. DanielK16

Can you take out the X?

7. DanielK16

it's X+(1/X)=11 So, In the equation can't you take out the X as common factor?

8. nirmalnema

@nincompoop

9. nirmalnema

@Luigi0210

10. DanielK16
11. DanielK16

idk...

12. nirmalnema

its ok no problem..thanks for trying..

13. Luigi0210

I think you need to solve for x in the first one, then once you find that you plug that value into the second..

14. nirmalnema

yaa but how.

15. DanielK16

yea.. that's what I was trying to do but that X+(1/X)=11 is weird

16. DanielK16

It's the same variable so I tried to factor it out but I don't think that's how it works...

17. Luigi0210

Multiply both sides by x, since it's an equation I think you can do that..

18. Luigi0210

It'll be $$\Large x^2+1=11x$$

19. Luigi0210

Nvm seems complicated xD

20. DanielK16

Why multiply both sides, it'll make X^2 ... that will be one dirty sitaution

21. dg2

the question is not clear to me

22. nirmalnema

its same as done by @DanielK16 but x is so weird

23. Luigi0210

@myininaya can help us ~

24. DanielK16

I tried some equation calculators on the internet and they come out like quadratics with two answers...

25. myininaya

i'm confused is it (x+1)/x=11 or x+1/x=11?

26. DanielK16

second one the 1/x is a fraction

27. nirmalnema

28. DanielK16

Is this calculus? with derivatives>?

29. myininaya

so we have this: $x+\frac{1}{x}=11 ; x^2+\frac{1}{x^2}$

30. nirmalnema

@aayushi.somani

31. DanielK16

correct @ myininaya

32. myininaya

my initial move is to square both sides of that equation first

33. myininaya

oh yes that will work perfectly and beautifully

34. myininaya

square both of sides of the equation x+1/x=11 to see magic

35. myininaya

This is only a 2-step problem.

36. DanielK16

Woah~~

37. DanielK16

I saw magic

38. myininaya

lol

39. myininaya

@nirmalnema do you see?

40. nirmalnema

nops..!

41. myininaya

do you know how to square (x+1/x)?

42. myininaya

$(x+1/x)^2 =?$

43. nirmalnema

yaa.

44. myininaya

Remember this means $(x+\frac{1}{x})(x+\frac{1}{x})$ now multiply

45. nirmalnema

ohh thanks i got it..its 119

46. myininaya

yep

47. myininaya

I thought to square both sides because the equation involved no items without squares and what we wanted to find involved those items with squares

48. nirmalnema

ok..!!

49. myininaya

oops double negative i hope you know what i mean

50. myininaya

involved items without squares*

51. nirmalnema

yaa ....