Posted by April on Friday, July 12, 2013 at 2:49pm.
Solve for x.
x/(x2) + (2x)/[4(x^2)] = 5/(x+2)
Please show work!

Math  Steve, Friday, July 12, 2013 at 3:01pm
putting everything over a common denominator of (x2)(x+2), we have
x^2 = 5(x2)
x^2  5x + 10 = 0
then just solve that for x
Make sure that x ≠ ±2 since those values are not allowed in the original equation

Math  MathMate, Friday, July 12, 2013 at 3:08pm
x/(x2) + (2x)/[4(x^2)] = 5/(x+2)
This calls for finding the common denominator, and then solving for x using the numerators.
Do not forget to exclude the asymptotes values of x where the denominator becomes zero.
LCM (lowest ommon multiple) of denominators (x2), (4x²) and (x+2) is (x²4), since (x2)(x+2)=(4x²)
Provided that x≠2 and x≠2, then we can write the equation above as:
[x(x+2)2x]/(x²4) = 5(x2)/(x²4)
provided x≠2 and x≠2
Equating numerators,
x²+2x2x=5(x2)
=>
x²5x+10=0
However, the solution does not have real roots. The complex roots are:
x=(5±√*i)/2

Math  MathMate, Friday, July 12, 2013 at 3:09pm
x=(5±(√15)*i)/2
If you do not expect complex roots, please check for typos in the original question.

Math  April, Friday, July 12, 2013 at 3:19pm
Thank you guys! That is what I got. I wasn't expecting the complex roots.. That's why I wanted to check whether or not I was doing it right!

Math :)  MathMate, Friday, July 12, 2013 at 4:31pm
You're welcome!
Answer This Question
Related Questions
 math  2. Simplify. Please be sure to show all of your work. 3(9) – 5 – 3 3...
 mat115  Please help me with this math question. I am asked to show my work but ...
 Math  6x4y=54 9x+2y=69 Which system would work best to solve? Please show ...
 prealgebra  can you please help me and help me solve this and show work: ...
 math. solve for t  1/1024=42*0.5^(t/12.5) Solve for t. Please show work. Much ...
 Math..solve for u  Solve u2[2=3 [ is square root. Please show work
 math  solve: 4+8 1/2 : (1/4) to the third power. solve 11(x+30)=412 (5x...
 Math help please  A statement Sn about the positive integers is given. Write ...
 math  Can someone please help me with this math problem. My teacher is looking ...
 Math (Help!)  Note: Remember to show all of the steps that you use to solve the...
More Related Questions