Question

The square of a number is equal to that number. What can this number be?

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

The square of a number is equal to that number

TO DETERMINE

The number

CALCULATION

Let x be the number

Then by the given condition

${x}^{2} = x$

$\implies\displaystyle \: {x}^{2} -x = 0$

$\implies\displaystyle \: x(x - 1) = 0$

We know that if product of two real numbers are zero then either of them are zero

So

$either \: \: x = 0 \: \: or \: \: \: x - 1 = 0$

So

$either \: \: x = 0 \: \: or \: \: \: x = 1$

RESULT

$\red{ \fbox{THE REQUIRED NUMBER ARE 0 , 1}}$