SOLUTION: The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number.
I let x be the number.
x/3 = the third the number
3/x 1/3
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Question 365063: The reciprocal of one third of a number decreased by one third of the reciprocal of the number is 1/3. find the number.
I let x be the number.
x/3 = the third the number
3/x 1/3 of the reciprocal
So...
x/3 - 3/x = 1/3
3x(x/3 - 3/x) = (1/3)3x
x^2 - 9 = x
x^2 - x - 9 = 0
That can't be factored, can you show me what I did wrong please?
Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
"The reciprocal of one third of a number"
"one third of the reciprocal of the number" is 1/3
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.
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Multiply both sides by .
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