1963 TMTA High School Algebra I Contest Problem 28

Problem

If we add its square to a certain number, the sum is $72.$ Find the number.

$\text{(A)} \quad 9 \quad \text{(B)} \quad 6 \quad \text{(C)} \quad 36 \quad \text{(D)} \quad -9 \quad \text{(E) NOTA}$

Let the number be $x.$ Then we have $x^2 + x = 72.$ Solving yields $x = -9$ and $x=8,$ so the answer is $\boxed{\text{(E) NOTA}.}$

1963 TMTA High School Mathematics Contests (Problems)
Preceded by Problem 27	TMTA High School Mathematics Contest Past Problems/Solutions	Followed by Problem 29