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ICSE Class 9 Answered

If x–1/x =3/2 ,then find x²–1/x²
Asked by sangeetadubey53835 | 06 Jul, 2021, 06:47: PM
answered-by-expert 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 | 07 Jul, 2021, 10:56: AM

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