SOLUTION: If x-1/x =4, find the value of x^3-1/x^3 and x^4+1/x^4 Thank you!

Algebra.Com
Question 1082554: If x-1/x =4, find the value of x^3-1/x^3 and x^4+1/x^4
Thank you!
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
, find the value of and 



Square both sides:





   <-- the answer to 1st expression

Square both sides again





  <-- the answer to 3rd expression

For the 2nd expression, take the two equations:

 and 

Multiply equals by equals:









, and since ,



 <-- answer to 2nd expression

Edwin
RELATED QUESTIONS

If x^4+(1/x^4)=731, find the value of x^2-(1/x^2). thank... (answered by askmemath)
if (x+(1/x))=4 then find value of... (answered by ramkikk66)
If: x^2 + (1 / x^2) = 3 What is the value of: x^4 + (1/x^4) Please show work if (answered by mananth)
if x^2 + 1/x^2 =4 , then find the value of x^3 + 1/x^3 (answered by richard1234)
If f(x)=1/x and g(x)=1/x^3, find (f+g)(x). Is it x^2+1/x^2, x^2+1/x^2, 1,or 1/2x^4... (answered by jsmallt9)
Find the value of x:... (answered by jim_thompson5910)
If f(x)=1/x, find the value of f(g(-3)). please and thank... (answered by josgarithmetic)
1)the minimum value of... (answered by Alan3354)
Topic:Arithmetic Mean 1. Find the value of x if the arithmetic mean of 4 and 3/2 x is... (answered by ikleyn)