Question

x^2+1/x^2=7. find x-1/x. x+1/x . 3x^2-1/3x^2​

Answer 1

Answer:

Step-by-step explanation:

(x-1/x)² = x² + 1/x² -2

(x-1/x)² = 7-2 =5

(x-1/x) = √5

(x+1/x)² = x² + 1/x² + 2

(x+1/x)² = 7+2 = 9

(x+1/x) = 3

x+1/x+x-1/x = 3+√5

2x= 3+√5

x = (3+√5)/2

3x² - 1/3x²

3((3+√5)/2)² - 1/3((3+√5)/2)²