1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Equation solving

  1. Jun 14, 2010 #1
    1. The problem statement, all variables and given/known data
    The equation is:[tex]\frac{(a-x)^4+(x-b)^4}{(a+b-2x)^2}=\frac{a^4+b^4}{(a+b)^2}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    I expanded the terms on the L.H.S and ended up with an equation of 4th,3rd,2nd ,1st degree equation very difficult to solve.
  2. jcsd
  3. Jun 14, 2010 #2
    Am I correct to assume that you are suppose to find a solution with respect to x?

    I get that x is either [tex]x = \frac{2ab}{a+b}[/tex] or [tex]\frac{a^2+b^2}{a+b}[/tex] or x = 0

    just remember that [tex](a-x)^4 = ((a-x)^2)^2[/tex]
    Last edited: Jun 14, 2010
  4. Jun 14, 2010 #3

    Yes you right ,but how did you get those solutions?

    But is it not there a forth solution ,or one of them is double??
  5. Jun 14, 2010 #4
    1) Use the fact that (x-a)^4 = ((x-a)^2)^2 and then solve with respect to x
  6. Jun 14, 2010 #5
    I am sorry can you elaborate a little more ,i cannot follow.
  7. Jun 15, 2010 #6
    Sorry I didn't report back to yesterday had an upset stomac :(

    You expand the lefthand side as I showed you and then solve it respect to x.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Equation solving Date
Solving trig equation with TI Ispire CX Jan 7, 2018
How to solve this trigonometric equation? Jan 6, 2018
Solving an equation (algebra) Sep 7, 2017