Math, asked by RehanAhmadXLX, 1 year ago

Page : 1.6
If x = √3/2, then the value of x³ + 1/x³ is :
a) 91√3/72
b) 18√2/13
c) 4√3/7
d) 19√2/12

Answers

Answered by Anonymous
25
Heyaa...

Here's your answer..

=========================

Refer to the attachment..

Sorry for the handwriting...

But it comes out to be that
the answer is a)91root3/72

========================

HOPE IT HELPS

@Rêyaañ11
Attachments:
Answered by rohitkumargupta
31
HELLO DEAR,

x =  \frac{ \sqrt{3} }{2}  \\  \\  =  >  {x}^{3}  =  \frac{ 3\sqrt{3} }{8}............(2)  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: and \:  \:  \:  \:  \\  \\  \frac{1}{ {x}^{3} }  =  \frac{8}{3 \sqrt{3} } ...........(2) \\  \\ adding \: ..(1) \:  \: and \:  \: ...(2) \\  \\  {x}^{3}  +  \frac{1}{ {x}^{3} }  =  \frac{3 \sqrt{3} }{8}  +  \frac{8}{3 \sqrt{3} }  \\  \\  =  >  \frac{27 + 64}{8 \times 3 \sqrt{3} }  \\  \\  =  >  \frac{91}{24 \sqrt{3} }  \times   \frac{ \sqrt{3} }{ \sqrt{3} }  \\  \\  =  >  \frac{91 \sqrt{3} }{72}


hence, option (a) is correct


I HOPE ITS HELP YOU DEAR,
THANKS

RehanAhmadXLX: But, you won't be able to post more comments
RehanAhmadXLX: You're are banned for 60 minutes
RehanAhmadXLX: and your account will be deleted before that
RehanAhmadXLX: Never try to insult any of our moderators
rohitkumargupta: Dhanyavad ji
RehanAhmadXLX: :-)
Ramanujmani: Grt answeer
Similar questions