Question

solve this
if (x+1/x)=4 ,then(x raise to 4 + 1/x raise to 4) =?​

Answer 1

x^4=1/x^4 can be written as (x^2 + 1/x^2)² -2 × x² × 1/x²

So we will have to find the value of x² +1/x²

(x+1/x)²=x² +1/x² +2 × x × 1/x

4²=x ² + 1/x² + 2

16 - 2= x² + 1/x² = 14

now( x² + 1/x²) =x^4 + 1/x ^4 + 2 × x² × 1/x²

=14²=x^4 + 1/x^4 +2

196-2=x^4 + 1/x^4

x^$ + 1/x ^4 = 194