SOLUTION: I need help with this please...There is the main question needing an answer with demonstration and I need an example please!!! Thank you!!! A) How do you know if a quadratic e

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help with this please...There is the main question needing an answer with demonstration and I need an example please!!! Thank you!!! A) How do you know if a quadratic e      Log On


   

Question 524345: I need help with this please...There is the main question needing an answer with demonstration and I need an example please!!! Thank you!!!

A) How do you know if a quadratic equation will have one, two, or no solutions?
B) Demonstrate the process in detail with your own example.
C) Provide an example.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
A) Examine the "discriminant" This is the quantity under the radical sign in the quadratic formula: b%5E2-4ac.
a) If the discriminant is zero b%5E2-4ac+=+0 there is "one" solution!
N.B. There are really two roots but they are identical.
B) If the discriminant is positive b%5E2-4ac+%3E+0 there are two real roots.
C) If the discriminant is negative b%5E2-4ac+%3C+0 there are "no" real solutions.
N.B. The solutions in this case are complex roots.
B) Here's an example:
4x%5E2%2B6x-3+=+0 Here: a = 4, b = 6, and c = -3, so
b%5E2-4ac+=+36-4%284%29%28-3%29 = 84
The discriminant is positive so there are two real roots.