Question

if x^2+1/x^2=6 find the value of x^4+1/x^4

Answer 1

Heya mate
here is your answer

I hope this will help you...✌️✌️
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Answer 2

$\textbf{Answer}$

We need to find the value of,
$\textbf{x^4 + 1/x^4 = ?}$

We are given,
$\textbf{x^2 + 1/x^2 = 6 --------(1)}$

Lets square both sides of equation (1)

{x^2 + 1/x^2}^2 = (6)^2

=> x^4 + 1/x^4 + 2(x^2)/(x^2) = 36

=> x^4 + 1/x^4 + 2 = 36

=>$\textbf{x^4 + 1/x^4 = 34}$

$\textbf{Hope It Helps}$

$\textbf{Thanks}$