Questions of WORD PROBLEMS 20 Aug

Question for practice
The following questions are more helpful for class tenth students for all boards.

Questions 12.  A number when added to its reciprocal result becomes double of the number. find the number?

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Comments

  1. let the number be x.
    then its reciprocal is 1/x.
    then x+1/x=2x
    or 2x=x+1/x
    2x^2=x^2+1
    2x^2-x^2=1
    x^2=1
    x=1
    therefore, the number is 1

    ReplyDelete
  2. let the number be x.
    so , its reciprocal will be = 1/x

    x + 1/x = 2x
    x^2+1/x = 2x
    x^2+1 = 2x^2
    so, 1 = x^2
    => x = 1

    ReplyDelete
    Replies
    1. No
      see here, x^2 = 1
      correct answer is 1 or -1.

      Delete
  3. Ans. Let the no. be x
    therefore, its reciprocal = 1/x
    x +1/x = 2x
    or x^2 +1 /x =2x
    or x^2 +1 = 2x^2
    or 1 = x^2
    or x = 1
    therefore, the no. is 1 .

    ReplyDelete
    Replies
    1. No
      see here, x^2 = 1
      correct answer is 1 or -1.

      Delete
  4. No
    x^2 = 1
    correct answer is 1 or -1.

    ReplyDelete
  5. x+1/x=2x
    (x^2 +1)/x=2x
    x^2=1 =2x^2
    1=2x^2 -x^2
    x^2 =1
    x=1

    ReplyDelete
  6. let the nmbr be X
    1/x+x =2x
    1+x*x=2(x*x)
    x*x=1
    x= 1 or -1

    ReplyDelete

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