Math, asked by bhai23, 1 year ago

plz solve this i hope u will help ne

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Answered by siddhartharao77
5
x^4 + 1/x^4 = 119.

This equation can be written as

x^4 + 1/x^4 + 2 = 121

(x^2 + 1/x^2)^2 = (11)^2

x^2 + 1/x^2 = 11   ------ (1) 


Now,

x^2 + 1/x^2 - 2 = 9

(x - 1/x)^2 = (3)^2

x - 1/x  = 3   ------ (2)


Now,

On cubing both sides, we get

(x - 1/x)^3 = (3)^3

x^3 - 1/x^3 - 3 * x * 1/x(x - 1/x) = 27

x^3 - 1/x^3 - 3 * (x - 1/x) = 27

x^3 - 1/x^3 - 3(3) = 27

x^3 - 1/x^3 = 27 + 9
 
x^3 - 1/x^3 = 36.


Hope this helps!

siddhartharao77: :-)
Answered by Anonymous
0
Hi,

Please see the attached file!


Thanks
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