Find all solutions to the Diophantine equation 4−2−3=0n 4−n 2−m 3 =0. How many numbers x are there in the set {1,2,…,170}{1,2,…,170} such that 33+17+16x 33+x 17+x 16is divisible by 17?
A) There are 4 solutions to the Diophantine equation. 14 numbers are divisible by 17.
B) There are 2 solutions to the Diophantine equation. 17 numbers are divisible by 17.
C) There is 1 solution to the Diophantine equation. 16 numbers are divisible by 17.
D) There are no solutions to the Diophantine equation. 15 numbers are divisible by 17.