Question

Solve q 9 from the picture given

Answer 1

Step-by-step explanation:

x^2+4x-1=0. _1

let ,

x+1/x=y

x^2+1=xy

x^2-xy+1=0

-4x+1-xy-1=0. (from1)

-4x-xy=0

4x+xy=0

x(4+y)=0

y=-4

x+1/x=-4. _2

x^2+4x+1=o

let,

x^2+1/x^2=t

then,

[x+1/x]^2-2=t

(-4)^2-2=t. (from 2)

16-2=t

t=14

x^2+1/x^2=14