If $x^4 - 12x^2 + 1 = 0 $, then what will be the value of $x^4 + \frac{1}{x^4}$
Answer & explanation
Correct answer: option 1
We know that,
If $K+\frac{1}{K}=n$
then, $K^2+\frac{1}{K^2}$ = n2 – 2
If $x^4 - 12x^2 + 1 = 0 $,
Divide by x2 on the both sides of equation we get,
x2 + \(\frac{1}{x^2}\) = 12
then the value of $x^4 + \frac{1}{x^4}$ = 122 – 2 = 142