Question

find value of x²+1/x² if x+1/x =1​

Answer 1

Answer:

The answer is -1

Step-by-step explanation:

$\\x \: + \: \frac{1}{x} = 1 \\ x ^{2} + \frac{1}{x ^{2} } =( x + \frac{1}{x} )^{2} - 2\\ {1}^{2} - 2 \\ 1 - 2 = - 1$

$( x + \frac{1}{x} )^{2} = \: x ^{2} + \frac{1}{x ^{2} } + 2x \frac{1}{x}$

Answer 2

Answer:

Step-by-step explanation:

Given that,

x+ 1/x = 1

Squaring on both sides,

( x + 1/x )² = ( 1 )²

x² + 1/x² + 2 ( x ) ( 1/x ) = 1

x² + 1/x² + 2 = 1

x² + 1/x² = 1 - 2

x² + 1/x² = - 1 is the answer.