If the sum of a number and its square is 182, then the number is

Let no $=x$

Its square$=x^2$

$x+x^2=182$

$x^2+x-182=0$

$x^2+14x-13x-182=0$

$x(x+14)-13(x+14)=0$

$(x+14)(x-13)=0$

$x=-14,13$

$x=13$

$x$can’t be negative