SOLUTION: The sum of a number and twice its multiplicative inverse (reciprocal) is 3. Find the number.
Algebra.Com
Question 370540: The sum of a number and twice its multiplicative inverse (reciprocal) is 3. Find the number.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x be the number
reciprocal = 1/x
2 times reciprocal = 2/x
...
x+2/x = 3
...
(x^2+2)/x=3
(x^2+2)=3x
x^2-3x+2=0
x^2-2x-x+2=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x = 1 OR 2
...
m.ananth@hotmail.ca
RELATED QUESTIONS
the sum of a number and twice its inverse reciprocal is 3. what is the... (answered by edjones)
the sum of a number and its multiplicative inverse is five times the... (answered by ikleyn)
the sum of a number and twice its reciprocal is 11/3. find the... (answered by Fombitz)
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 reciprocal is 83 over 9. Find the... (answered by ReadingBoosters)
The sum of 2 times a number and twice its reciprocal is 20/3.
Find the... (answered by Horlaye)
The sum of a number twice its reciprocal is 3. Find the... (answered by padmameesala,Mathtut)
The sum of a number and its reciprocal is 10/3. Find the... (answered by Alan3354)
the sum of a number and seven times its reciprocal is 16/3. find the... (answered by anantha)