SOLUTION: A number minus twice its reciprocal is the same as the reciprocal of four times the number. find the number. I have the equation as x-2 1/x = 1/4x then i multiplied 2 by 1/x a

Question 297418: A number minus twice its reciprocal is the same as the reciprocal of four times the number. find the number.
I have the equation as x-2 1/x = 1/4x
then i multiplied 2 by 1/x and got 2/x
Then i changed the x/1-2/x into the same base so we can subtract and got (x^2-2)/x + 1/4x
From there i am lost.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number

Multiply both sides by

Take the square root of both sides

and

check answer:

Multiply both sides by

OK

RELATED QUESTIONS
The sum of a number and four times its reciprocal is 29/5.Find the number (answered by eggsarecool)

A number minus 12 times its reciprocal is equal to 1. Find the... (answered by mananth)

The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number.... (answered by stanbon)

Seven times the reciprocal of a number plus five times the reciprocal fo the number... (answered by nerdybill)

the sum of a number and four times its reciprocal is -5. what is the... (answered by sofiyacherni,bucky)

How do I solve? The additive inverse of a number divided by 12 is the same as one less (answered by ankor@dixie-net.com)

Eight times the reciprocal of a number equals four times the reciprocal of 2 find the... (answered by rfer)

THE SUM OF A NUMBER AND TWICE ITS RECIPROCAL IS 9/2. fIND THE... (answered by checkley75)

The sum of a number and twice its multiplicative inverse (reciprocal) is 3. Find the... (answered by mananth)