isi-entrance 2018 Q25

isi-entrance · India · UGA Number Theory Quadratic Diophantine Equations and Perfect Squares

The sum of all natural numbers $a$ such that $a ^ { 2 } - 16 a + 67$ is a perfect square is:
(A) 10
(B) 12
(C) 16
(D) 22.

The sum of all natural numbers $a$ such that $a ^ { 2 } - 16 a + 67$ is a perfect square is:\\
(A) 10\\
(B) 12\\
(C) 16\\
(D) 22.