If-x-1-x-7-thenthevalueofx-4-1-x-4-is-

Question Number 43226 by veerendravyas1974@gmail.com last updated on 08/Sep/18

I f (x - \frac{1}{x} = 7) {t h e n t h e v a l u e o f x}^{4} + \frac{1}{x^{4}} i s ?

Answered by tanmay.chaudhury50@gmail.com last updated on 08/Sep/18

x^{2} + \frac{1}{x^{2}} = {(x - \frac{1}{x})}^{2} + 2 . x . \frac{1}{x} = 51

x^{4} + \frac{1}{x^{4}} = {(x^{2} + \frac{1}{x^{2}})}^{2} - 2 . x^{2} . \frac{1}{x^{2}}

= {(51)}^{2} - 2

= 2601 - 2

= 2599