SOLUTION: Please help me solve this problem: Find both values of x which satisfy the equation x + 1/x = 7 + 1 /7 . x= ___________ _______ or x= ___________ __________ Expl

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Question 168257: Please help me solve this problem:


Find both values of x which satisfy the equation x + 1/x = 7 + 1 /7 .

x= ___________________ or x= ______________________

Explain how you got your answers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find both values of x which satisfy the equation
x + 1/x = 7 + 1 /7 .
:
Multiply equation by 7x to get rid of the denominators, results:
7x^2 + 7 = 49x + x
:
7x^2 + 7 = 50x
:
7x^2 - 50x + 7 = 0; a quadratic equation
factors to
(7x - 1)(x - 7) = 0
:
7x = 1
x = 1%2F7
and
x = 7