Explanation:
x2 + bx +5 = 0,
where a,b and c are rational numbers.
Also it is given that the quadratic has 2 distinct zeros and one of it's zero is irrational.
We know that if it has a one irrational zero, the conjugated couple of the one zero is also a null with the same polynomial balance for a polynomial equation with rational coefficients." Therefore, in this case it is a quadratic equation, one is null and irrational; thus, the other zero is irrational.