Question

If x + 1/x = 9 , find the value of x² + 1/x²​

Answer 1

Step-by-step explanation:

x+1/x=9

squaring on both sides

(x+1/x)²=81

x²+1/x²+2(x)(1/x)=81

x²+1/x²=81-2

x²+1/x²=79

Answer 2

Answer:

Given ( x – 1 ) = 9

x

squaring the both sides

= ( x – 1 )² = 9²

x

= x² + 1 – 2 × x × 1 = 81

x² x

= x² + 1 – 2 = 81

x²

= x² + 1 = 81 + 2 = 83

x²

= ( x² + 1 ) = 83

x²