Time remaining:
Simplify the complex fraction

label Algebra
account_circle Unassigned
schedule 0 Hours
account_balance_wallet $5

2014-07-19_9-58-43.png
Oct 16th, 2017

2014-07-19_9-58-43.png

we first consider x-5/x - (-12/x-1), then

x-5/x - (-12/x-1) = x-5/x + 12/x-1

Taking L.C.M x(x-1), we get

[(x-5)(x-1) + x(12)] / x(x-1)

(x^2 - 6x + 5 +12x)/x(x-1)

HENCE   (x^2 + 6x + 5 )/x(x-1)

Now consider x+1/x + x+1/x-1

Taking L.C.M x(x-1), we get

[(x+1)(x-1) + x(x+1)] / x(x-1)

(x^2 -1 + x^2 +x) / x(x-1)

(2x^2 +x -1) / x(x-1)

HENCE    (2x^2 +x -1) / x(x-1)

Now when we put the values x(x-1) will cancel out each other, then we get

(x^2 + 6x + 5 ) / (2x^2 +x -1)

By simplifying above equations, we get

(x+1)(x+5) / (2x-1)(x+1)

Now (x+1) will cancel out each other, then

HENCE (x+5) / (2x-1)

Jul 19th, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Oct 16th, 2017
...
Oct 16th, 2017
Oct 17th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer