Answer
$2$
Work Step by Step
Let the whole number is $x$
A whole number increased by its square is two more than twice itself.
$x+x^{2} = 2 + 2x$
$x+x^{2} - 2 - 2x = 0$
$x^{2} - x - 2 = 0$
By factoring,
$(x-2)(x+1)=0$
$x=2$ or $x=-1$
The whole number should not be negative.
Therefore the number is $2$
