SOLUTION: If: x^2 + (1 / x^2) = 3 What is the value of: x^4 + (1/x^4) Please show work if possible. Thank you.

Algebra ->  Expressions -> SOLUTION: If: x^2 + (1 / x^2) = 3 What is the value of: x^4 + (1/x^4) Please show work if possible. Thank you.      Log On


   

Question 803199: If:
x^2 + (1 / x^2) = 3
What is the value of:
x^4 + (1/x^4)
Please show work if possible. Thank you.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4+%2B+%281%2Fx%5E4%29

= +%28%28x%5E2%29%2B%281%2Fx%5E2%29%29%5E2-2

But x^2+(1/x^2) =3
= 3^2-2
=9-2
7