Question

If x - 1/x= 3 , then x ² + 1/x ²= ________​

Answer 1

Answer:

x-1/x=3

Sq. both the side

(x-1/x)²=(3)²

x²-2x*1/x+(1/x)²=9

x²-2 +1/x² =9

x²+1/x²=9+2

x²+1/x²=11

Answer 2

GIVEN -

x - 1 / x = 3 ...........eq(1)

TO FIND -

x² + 1/x ²= ?........eq(2)

SOLUTION -

By squaring eq(1), we get

(x - 1/x )² =( 3)²

x² + 1/x² + 2x × 1/x = 9

x² + 1/x² + 2 = 9

x² + 1/x² = 11

HENCE THE VALUE OF EQUATION x² + 1/x² = 11.