1. Not finding help here? Sign up for a free 30min 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!

What the value of n ?

  1. Feb 13, 2007 #1
    hi guys ... i am new here ... could you please help me in this ?

    X ^ 3 + ( x + 2 ) ^ n + ( 2 - x ) ^ n = 0
    whats the value of n ?! :bugeye:
     
  2. jcsd
  3. Feb 13, 2007 #2
    Your question is ill defined. If you mean "What value of n satisfies this FOR ALL X?" then there isn't one. You can see this by working out the coefficent of [tex]x^{3}[/tex] in [tex](x+2)^{n}+(2-x)^{n}[/tex] and working out what value of n gives that coefficent as -1, so that it cancels with the [tex]x^{3}[/tex] term. Unfortunately, this leaves you with other terms which don't cancel (linear ones).

    For any value of n you're going to find a value of x which satisfies the equation, though it will depend on n.

    So basically no n gives it true for all x but any value of n makes it true for some x.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: What the value of n ?
  1. What is 5^n=80n (Replies: 5)

Loading...