highschoolnat2000 highschoolnat2000

31-03-2015
Mathematics

Answered

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

Answer :

konrad509 konrad509

31-03-2015

[tex]x+\dfrac{1}{x}=2\qquad(x\not=0)\\ x^2+1=2x\\ x^2-2x+1=0\\ (x-1)^2=0\\ x-1=0\\ x=1 [/tex]

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