If x–1/x =3/2 ,then find x²–1/x²

Asked by sangeetadubey53835 | 6th Jul, 2021, 06:47: PM

Expert Answer:

straight x minus 1 over straight x equals 3 over 2
open parentheses straight x minus 1 over straight x close parentheses squared equals 9 over 4
straight x squared minus 2 cross times straight x cross times 1 over straight x plus 1 over straight x squared equals 9 over 4
straight x squared plus 1 over straight x squared equals 9 over 4 plus 2
straight x squared plus 1 over straight x squared equals 17 over 4
Now
open parentheses straight x plus 1 over straight x close parentheses squared equals straight x squared plus 1 over straight x squared plus 2
open parentheses straight x plus 1 over straight x close parentheses squared equals 17 over 4 plus 2 equals 25 over 4
straight x plus 1 over straight x equals plus-or-minus 5 over 2

straight x squared minus 1 over straight x squared equals open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x minus 1 over straight x close parentheses equals plus-or-minus 5 over 2 cross times 3 over 2 equals plus-or-minus 15 over 4

Answered by Arun | 7th Jul, 2021, 10:56: AM