SOLUTION: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions? A) The equation has no real number solutions.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions? A) The equation has no real number solutions.      Log On


   

Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?

A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.
Found 3 solutions by ntnk, Nate, ice_water35:
Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the quadratic formula.
%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29
If you ignore the b%5E2-4ac, by making it zero then you are left with
-b%2F2a.
This is one rational solution.


D) The equation has exactly one rational solution.


NtNk


Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
when the discriminant (b^2 - 4ac) is equal to zero, there will be only one solution for a quadratic equation equaling zero....
so either (B) or (D)

Answer by ice_water35(8) About Me  (Show Source):
You can put this solution on YOUR website!
>>>>>We may conclude that the solutions are equal. We may also say that the solutions are real and rational numbers