Question

if x+1/x=2then x⁴+1/x⁴=​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x⁴ + 1/x⁴ = 2

Step-by-step explanation:

$x + \frac{1}{x} = 2\\\\(x+ \frac{1}{x})^2 = 2^2\\\\x^2 + \frac{1}{x^2} + 2(x)( \frac{1}{x}) = 4 \\\\\\x^2 + \frac{1}{x^2} = 4-2 =2\\\\Now, x^2 = \frac{1}{x^2}= 2\\\\(x^2+ \frac{1}{x^2}) = 2^2\\\\x^4 + \frac{1}{x^4} + 2(x^2)( \frac{1}{x^2} = 4\\\\x^4 + \frac{1}{x^4} = 4 - 2\\\\x^4 + \frac{1}{x^4} = 2$