Question

ii) If x+ 1/x= 3, then find the value of x^2 +1/x^2​

Answer 1

Step-by-step explanation:

x + 1/x = 3

doing square both sides

x² + 1/x² = 9 - 2 = 7

Answer 2

Answer:

17 / 4

Step-by-step explanation:

:- x + 1 / x = 3

:- x + 1 = 3 × x

:- x + 1 = 3x

:- x - 3x = -1

:- -2x = - 1

:- x = -1 / -2

:- x = 1 / 2

:- x^2 + 1 / x^2

:- ( 1/2 )^2 + 1 / (1/2)^2

:- 1/ 4 + 1 / 1/4

:- 1/4 + 1/1 ×4/1

:- 1/4 + 4/1

:- 1/4 + 16/ 4 ( :- 16 = lcm of 1 and 4 )

:- 1+ 16 / 4

:- 17 /4