Question 350877
rational number.


a rational number is a number that is the result of an integer being divided by an integer.


if the discriminant is a perfect square, then the square root is an integer.


this makes the numerator of the quadratic formula an integer and the denominator of the quadratic formula an integer which results in a rational number.


the quadratic formula is:

 x = {{{(-b +- sqrt(b^2-4ac))/(2a)}}}


{{{sqrt(b^2-4ac)}}} is the discriminant.