SOLUTION: If x^2+x-1=0 what is the value of x^4+(1/x^4)?

Algebra.Com
Question 1118176: If x^2+x-1=0 what is the value of x^4+(1/x^4)?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
   = -2 = Replace here x^2 with (1-x) since it is given =  - 2 = 


=  - 2 =  - 2 =  - 2 =  - 2 =  - 2 


=  - 2 = replace  with 1, since   = (1-x) is given =


=  - 2 = -2 = 9 - 2 = 7.

Solved.


RELATED QUESTIONS

If {{{(1/(x-1))+(1/(2x-2))=1/4}}}, what is the value of... (answered by Boreal)
x-2/3+x-3/4=x-1/2 What is the value of x (answered by Fombitz)
pls help me to answer this problem: if x^2-5x+1=0, what is the value of x^4 +... (answered by MathLover1)
pls help me to answer this problem: If x^2-3x+1=0. What is the value of... (answered by Alan3354)
2x+4y=3 1/2 if (x, 2 3/4) what is the value of... (answered by jim_thompson5910)
If log(base 2) (1/4)=log(base 8) x, what is the value of x? (answered by Alan3354)
(x-1/x)=5 ,then what is the value of... (answered by ikleyn)
I appreciate a respond "If {{{x+1/x=8}}}, what is the value of {{{x^4+1/x^4}}}? " (answered by Alan3354)
If: x^2 + (1 / x^2) = 3 What is the value of: x^4 + (1/x^4) Please show work if (answered by mananth)