Question

Consider the quadratic ax^2 + bx + c =0, where a,b, and c are rational numbers and the quadratic has two distinct zeroes. If one zero is rational, which of the following is true of the other zero
A) The other zero is irrational.
B)The other zero could be rational or irrational.
C)The other zero is not a real number.
D)The other zero is rational.

Answer 1

what makes it irrational is the
$\sqrt{ {b}^{2} - ac } \:$
which does not change from one zero to the other. so if one root its irrational the other one also is. Answer A