Question

If x + 1/x = 11, find the value of x⁴ + 1/x⁴.​

Answer 1

Putting 11 on x

Then,

${11}^{2} + { \frac{1}{11} }^{4}$

So,

$\frac{121}{1} + \frac{1}{14641}$

Next,

$\frac{1771561 + 1}{14641}$

Next,

$\frac{1771562 }{14641}$

Next,

Answer:- 121

Hopes it helpful for u

Answer 2

Answer:

here is your solution

Step-by-step explanation:

$\large\mathsf{ x+ \frac{1}{x} = 11 }$

$\large\mathsf{ (x+ \frac{1}{x} )^2 = 11^2 }$

square on both sides,

$\large\mathsf{ (x^2 + 2×x× \frac{1}{x} = 121 }$

$\large\mathsf{ x^2 + 2× \cancel{x} \times \frac{1}{\cancel{x}} = 121 }$

$\large\mathsf{ x^2 = 121-2 }$

$\large\mathsf{ x^2 = 119 }$

$\large\mathsf{ x^4= 119^2 }$

$\large\mathsf{ \frac{1}{x^4} = \frac{1}{119^2} }$

$\large\mathsf{ x^4 + \frac{1}{x^4} = }$

$\large\mathsf{ 14161 + \frac{1}{14161} }$

Solve this you will get your answer.