Question

The number, whose reciprocal is same as the number is ___.​

Answer 1

Answer:

1

Step-by-step explanation:

reciprocal of 1 = 1/1

= 1

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Answer 2

SOLUTION

TO DETERMINE

The number, whose reciprocal is same as the number is

EVALUATION

Let x be the required number

Now it is given that the reciprocal is same as the number

So by the given condition

$\displaystyle \sf{ \implies \: x = \frac{1}{x} }$

$\displaystyle \sf{ \implies \: {x}^{2} = 1}$

$\displaystyle \sf{ \implies \: x = \pm \: 1}$

FINAL ANSWER

Hence the required number is - 1 or 1

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