PLEASE ANSWER
Can someone help with this

A student was given the equation x2 + 6x − 13 = 0 to solve by completing the square. The first step that was written is shown below.

x2 +6x=13

The next step in the student’s process was x2 + 6x + c = 13 + c . State the value of c that creates a
perfect square trinomial.

Explain how the value of c is determined.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?