Question

x+ 1/x =3
then find x^4 + 1/x^4



pls solve.​

Answer 1

Answer:

47

Step-by-step explanation:

Given,

=> x+ 1/x =3

=> x^2 + (1/x^2) + 2= 9             [Squaring both sides {a^2 + b^2 + 2ab=(a+b)^2}

=> x^2 + (1/x^2)= 9-2= 7

Now again squaring the above equation,

x^4 + (1/x^4) + 2= 49

x^4 + (1/x^4)= 49-2= 47