Question

if X square + 1 by x square is equal to 6 find the value of x 4 + 1 by x 4

Answer 1

here is ur answer in the attachment above

Answer 2

Answer:

$\text{The value of }x^4+\frac{1}{x^4}\text{ is }34$  

Step-by-step explanation:

$\text{Given the value of }(x^2+\frac{1}{x^2})\text{ which is equals to 6}$

$\text{we have to find the value of }(x^4+\frac{1}{x^4})$

$\text{By identity, }(x+y)^2=x^2+y^2+2xy$

$(x^2+\frac{1}{x^2})=6$

Squaring both sides, we get

$(x^2+\frac{1}{x^2})^2=36$

$(x^2)^2+(\frac{1}{x^2})^2+2(x^2)(\frac{1}{x^2})=36$

$x^4+\frac{1}{x^4}+2=36$

$x^4+\frac{1}{x^4}=34$

$\text{Hence, the value of }x^4+\frac{1}{x^4}\text{ is }34$