If x and y are consecutive odd integers such that x < y, what is the value of y + x?

(1) The product of xy is negative.

(2) The sum x + y is the square of an integer.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.Each statement ALONE is sufficient to answer the question.Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.