if x=3+8^1/2, find x^4+(1/x^4)

1 answer

x^2 = (3+√8)^2 = 9 + 6√8 + 8 = 17 + 6√8
x^4 = (17+6√8)^2 = 289 + 204√8 + 288 = 577 + 204√8

so x^4 + 1/x^4
= (577 + 204√8) + 1/(577 + 204√8)
= etc (getting messy, work patiently)

Ask a New Question or answer this question.

Similar Questions

Given the function: f(x) = x^2 + 1 / x^2 - 9a)find y and x intercepts b) find the first derivative c) find any critical values
1. 1 answer
Given the function: f(x) = x^2 + 1 / x^2 - 9a)find y and x intercepts b) find the first derivative c) find any critical values
1. 0 answers
Let equation of an hyperbola be y^2-4x^2+4y+24x-41=0a. Find the standard form b. Find the center c. Find the vertices d. Find
1. 0 answers
For the following graph:a. Find the domain of f. b. Find the range of f. c. Find the x-intercepts. d. Find the y-intercept. e.
1. 1 answer