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highschoolnat2000 highschoolnat2000
  • 31-03-2015
  • Mathematics
Answered

a number increased by its reciprocal is 2. find the number

Verified Answer :

konrad509
konrad509 konrad509
  • 31-03-2015

\(x+\dfrac{1}{x}=2\qquad(x ot=0)\\ x^2+1=2x\\ x^2-2x+1=0\\ (x-1)^2=0\\ x-1=0\\ x=1\)

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