Question

For what values of p and q is x^36+pq^9+100 a perfect square for all integer values of x?

Answer 1

`{( {x}^(18) + 10) }^(2) =`

`{x}^(36) + 20 {x}^(18) + 100 =`

`{x}^(36) + 20 ({ {x}^(2)) }^(9) + 100`

Let p = 20 and q = x².