Question

x+1/x =10 then x^4 + 1/x^4=​

Answer 1

Answer:

9602

Step-by-step explanation:

$\\\tt x+ \dfrac{1}{x}= 10$

Squaring both sides,

$\\\tt x^{2}+ \dfrac{1}{x^{2}} + 2 = 100\\ \\\tt x^{2}+ \dfrac{1}{x^{2}} = 98$

Squaring both sides again,

$\\\tt = x^{4}+ \dfrac{1}{x^{4}}+2 =9604\\ \\\tt x^{4}+ \dfrac{1}{x^{4}} = 9602$