TITLE: Is it possible for a quadratic equation to have one rational root and one irrational root?
QUESTION [34 upvotes]: Is it possible for a quadratic equation to have one rational root and one irrational root?

Yes, a pretty straightforward question. Is it possible?

REPLY [4 votes]: Consider the equation of form           x(x-a)=0
Here one solution is 0 and other is a. So if a is irrational one root is rational and other is irrational.