Question

if x - 3 = 1/x , find the value of x^2 + 1/x^2​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

11

Step-by-step explanation:

Given: x - 3 = 1/x,

Need to find: x² + 1/x² =?

x - 3 = 1/x => x²-3x-1=0

Roots of the quadratic equation:

1. x= (3-√13)/2=-0.303  

x² + 1/x² =(-0.303)²+1/(-0.303)²= 0.09+10.89= 10.98 ≈11

2. x= (3+√13)/2= 3.303

x² + 1/x² =3.303²+1/3.303²= 10.91+0.09= 11