# Integers a and b are such that #(a + 3sqrt(5))^2# + #a - b sqrt(5)# = 51. Find the possible values of a and corresponding values of b....?

##### 1 Answer

Apr 4, 2017

#### Explanation:

Notice that the right hand side is rational, in fact it is an integer. It does not include any

On the left, since we are told that

If the sum is to be equal to

So