WILL NAME BRAINLIEST PLZ HELP Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?

y squared over 40 minus x squared over 10 equals 1
y squared over 10 minus x squared over 15 equals 1
x squared over 10 minus y squared over 40 equals 1
x squared over 10 minus y squared over 15 equals 1

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?