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

Answer: Option E

Let the number be x
Then,
$$\begin{array}{rl}& \iff x+x^2=182\\ & \iff x^2+x-182=0\\ & \iff \left(x+14\right)\left(x-13\right)=0\\ & \iff x=13\end{array}$$