x+(1/x) = 2, then find the value of x + (-1/x)

a)
2

b)
1

c)
0

d)
3

Correct answer is option 'C'. Can you explain this answer?

Question

x+(1/x) = 2, then find the value of x + (-1/x)a)2b)1c)0d)3Correct answer is option 'C'. Can you explain this answer?

Answer

The answer given above is INCORRECT .

X+(1/X) = 2 ;

(X^2+ 1)/ X = 2 ;

X^2+1 = 2X ;

X^2 - 2X + 1= 0 ;

By factorisation method ,

X = 1 ;

Now substitute X= 1 in X +(-1/X) ;

we get , 1 - 1/1 = 0 ;

Therefore , X = 0 ;

Answer

X+(1/X) = 2 ;

(X^2+ 1)/ X = 2 ;

X^2+1 = 2X ;

X^2 - 2X + 1= 0 ;

By factorisation method ,

X = 1 ;

Now substitute X= 1 in X +(-1/X) ;

we get , 1 - 1/1 = 0 ;

Therefore , X = 0 ;

Answer

Given equation: x * (1/x) = 2

To solve this equation, we can simplify the expression on the left side by canceling out the x terms:

x * (1/x) = x/x = 1

So we have the equation: 1 = 2

This is a contradiction since 1 is not equal to 2. Therefore, the equation x * (1/x) = 2 has no solution.

Therefore, the correct answer is option 'C' (0).

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