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

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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) (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: .
a) If the discriminant is zero there is "one" solution!
N.B. There are really two roots but they are identical.
B) If the discriminant is positive there are two real roots.
C) If the discriminant is negative there are "no" real solutions.
N.B. The solutions in this case are complex roots.
B) Here's an example:
Here: a = 4, b = 6, and c = -3, so
=
The discriminant is positive so there are two real roots.