SOLUTION: If the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have ___________ solution(s).

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: If the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have ___________ solution(s).      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 350877: If the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have ___________ solution(s).
Answer by Theo(3464) About Me  (Show Source):
You can put this solution on YOUR website!
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 = %28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29

sqrt%28b%5E2-4ac%29 is the discriminant.