Question

find the value of x2+1/x2 if x-1/x=√3​

Answer 1

Answer:

3

Step-by-step explanation:

x-1/x=_/3

x-1=_/3x

x=_/3x+1

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

by using the formula

(x)^2+(1/x)^2+2×x×1/x

3x^2+1+(1/3x^2+1)+2

(3x^2+1+1+6x^2+2)/3x^2+1

9x^2+3/3x^2+1

3(3x^2+1)/3x^2+1

3