Question

If (x-1/x)=3,then x^4+1/x^4

Answer 1

Answer:

119

Step-by-step explanation:

x-1/x=3

squaring both sids

(x-1/x)^2=(3)^2

(x)^2+(1/x)^2-2x*1/x=9

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

(x)^2+(1/x)^2=9+2

(x)^2+(1/x)^2=11

again squaring both sides

((x)^2)^2+((1/x)^2)^2+2x^2*1/x^2=(11)^2

x^4+1/x^4+2=121

x^4+1/x^4=121-2

x^4+1/x^4=119