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CBSE Class 9 Answered

If x=9-4√5 find the value of x^2-1/x^2    
Asked by harshamreddy9 | 19 Jun, 2018, 09:53: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals open parentheses 9 minus 4 square root of 5 close parentheses 1 over straight x equals fraction numerator 1 over denominator 9 minus 4 square root of 5 end fraction rationalizing 1 over straight x equals fraction numerator 1 open parentheses 9 plus 4 square root of 5 close parentheses over denominator 9 minus 4 square root of 5 open parentheses 9 plus 4 square root of 5 close parentheses end fraction 1 over straight x equals 9 plus 4 square root of 5 straight x plus 1 over straight x equals fraction numerator 1 over denominator 9 plus 4 square root of 5 end fraction plus 9 plus 4 square root of 5 open parentheses straight x plus 1 over straight x close parentheses squared equals 18 squared straight x squared plus 1 over straight x squared plus 2 equals 324 straight x squared plus 1 over straight x squared equals 322 end style
Answered by Arun | 19 Jun, 2018, 10:56: AM

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