Question

If x = 3-√2, find the value of x² + 1/x²​

Answer 1

Answer:

58/7

Step-by-step explanation:

(x^2+1/x^2)

(x+1/x)^2=x^2+1/x^2+2x1/x

(3-√2+1/3-√2)^2=x^2+1/x^2+2

{(3-√2)(3-√2)+1/3-√2}^2=x^2+1/x^2+2

{12-6√2/3-√2}^2=x^2+1/x^2+2

{36+12√2-18√2-12/7}^2=x^2+1/x^2+2

{24-6√2/7}^2=x^2+1/x^2+2

576-72/49=x^2+1/x^2+2

72/7-2=x^2+1/x^2

58/7==x^2+1/x^2