SOLUTION: The sum of a number and its reciprocal is 10/3 . what is the number? Also need to know how to check it.Thank you a bunch!
Algebra.Com
Question 290858: The sum of a number and its reciprocal is 10/3 . what is the number? Also need to know how to check it.Thank you a bunch!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of a number and its reciprocal is 10/3 . what is the number? Also need to know how to check it.Thank you a bunch!
---------------------------
Equation:
x + 1/x = 10/3
---
Multiply thru by 3x to get:
3x^2 + 3 = 10x
---
Rearrange:
3x^2 - 10x + 3 = 0
Factor:
3x^2 - 9x - x + 3 = 0
3x(x-3)-(x-3) = 0
(x-3)(3x-1) = 0
Positive solution:
x = 1/3
---------
Checking:
x + (1/x) = 10/3
(1/3) + 3 = 10/3
(1/3)+(9/3) = 10/3
10/3 = 10/3
=============
Cheers,
stan H.
RELATED QUESTIONS
I am having trouble with this question it asks:
The sum of a number and its reciprocal... (answered by jim_thompson5910,solver91311)
Idk how to solve and check this problem,
The sum of a number and its reciprocal is... (answered by venugopalramana)
can you please help me solve and check this promblem: (((The sum of a number and its... (answered by Fombitz)
The sum of a number and its reciprocal is 10/3. What is the number?
Thank you for... (answered by Earlsdon)
One third of a number is 5 less than half of the same number. what is the number? I also... (answered by ankor@dixie-net.com)
the sum of a number and its reciprocal is 10/3 what is the... (answered by cowess,Earlsdon)
The sum of a number and its reciprocal is 10/3. What is the... (answered by stanbon)
the sum of a number and its reciprocal is 10/3. What is the... (answered by checkley77)
The sum of a number and its reciprocal is 10/3. What is the... (answered by josmiceli)