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ICSE Class 9 Answered

if x= 2-root 2. find x-1/x
Asked by nikhil3971 | 26 May, 2021, 08:07: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals space 2 minus square root of 2 rightwards double arrow 1 over straight x equals fraction numerator 1 over denominator 2 minus square root of 2 end fraction rightwards double arrow 1 over straight x equals fraction numerator 1 over denominator 2 minus square root of 2 end fraction cross times fraction numerator 2 plus square root of 2 over denominator 2 plus square root of 2 end fraction equals fraction numerator 2 plus square root of 2 over denominator 4 minus 2 end fraction equals fraction numerator 2 plus square root of 2 over denominator 2 end fraction Therefore comma space straight x minus 1 over straight x equals 2 minus square root of 2 minus open parentheses fraction numerator 2 plus square root of 2 over denominator 2 end fraction close parentheses equals fraction numerator 4 minus 2 square root of 2 minus 2 minus square root of 2 over denominator 2 end fraction equals fraction numerator 2 minus 3 square root of 2 over denominator 2 end fraction end style
Answered by Yasmeen Khan | 28 May, 2021, 12:27: AM

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