m is partly constant and partly varies as n2 when n = 2 m = 17 and when n = 4 and m = 53 ( a ) find the equation connecting m and n ( b ) find n when m = 32

Answer 1

Assuming by n2 you mean n^2, you would have
m = c + bn^2 , where c and b are constants
when n=2, m=17
17 = c + 4b
when n = 4, m = 53
53 = c + 16b

subtract those two equations:
36 = 12b
b = 3
now you can find c, and your complete equation,

then replace m with 32 and you can find n